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Hcf And Lcm Using Prime Factorisation

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsFour devices give signals at intervals of (28), (36), (63), and (84) seconds respectively. They signal together now. After how many seconds will they signal together again?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsA school has (312) answer sheets and (468) question papers. They are to be kept in the maximum number of identical packets so that each packet has the same number of both separately. How many packets can be made?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (m=2^5\times3^a\times5^2) and (n=2^3\times3^4\times5^b\times11) have LCM (2^5\times3^7\times5^3\times11), which values are correct?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (x=2^a\times3^6\times5) and (y=2^8\times3^b\times7) have HCF (2^6\times3^4), which values are possible?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsA number leaves remainders (38), (68), and (83) when divided by (45), (75), and (90) respectively. What is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe HCF of two numbers is (30) and their LCM is (2730). How many unordered pairs of such numbers are possible?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (a=2^7\times3^2\times5\times11) and (b=2^4\times3^6\times5^3\times7), what is (\frac{\text{LCM}}{\text{HCF}})?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe HCF of two numbers is (45), their LCM is (3465), and one number is (315). What is the other number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe prime factorisations of three numbers are (2^3\times3^4\times13), (2^5\times3^2\times5^2), and (2^2\times3^5\times7). What will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe prime factorisations of two numbers are (2^6\times3^2\times5^3\times7) and (2^4\times3^5\times5\times11). What will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of two numbers is (96) and their LCM is (1248), what is correct about their existence?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (L) is the LCM of (2^5\times3^4\times5) and (2^7\times3^2\times5^3\times17), how many distinct prime factors will (L) have?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (H) and (L) are respectively the HCF and LCM of (330), (462), and (770), what is (L\div H)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (H) is the HCF and (L) is the LCM of (2^7\times3^3\times5^2) and (2^4\times3^6\times5), what is (\frac{L}{H})?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe HCF of two numbers is (81) and their LCM is (4617). If the numbers are taken as (81r) and (81s), what is the value of (rs)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the LCM of (2^5\times3^5\times5), (2^7\times3^2\times7), and (2^4\times3^4\times11) is found, what will be the power of (3) in it?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (H) is the HCF of (143), (187), and (253), what is the value of (H)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (288=2^5\times3^2) and (432=2^4\times3^3), the product of their LCM and HCF will be equal to what?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsWhich pair has HCF (26) and LCM (2860)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (L) is the LCM and (H) is the HCF of (2^6\times3^2\times5) and (2^3\times3^6\times5^2), what will be the powers of (3) in (L) and (H) respectively?Class 10Real NumbersHCF and LCM using prime factorisationExpert