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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।

MathematicsIf the LCM of (66), (88), and (121) is found, how many distinct prime factors will it have?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (A=2^6\times3\times5^2) and (B=2^4\times3^3\times5), what will be the power of (2) in their LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhich statement is correct for (132) and (308)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of two numbers is (18) and their LCM is (990), and the numbers are (18r) and (18s), what is the value of (rs)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf a number is divisible by both (2^5\times3^2\times7) and (2^3\times3^5\times11), what will be the power of (3) in the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (176=2^4\times11) and (264=2^3\times3\times11), what is the sum of their HCF and LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf two numbers are coprime and their LCM is (667), what will be their product?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsA library has (168) mathematics books and (252) science books. They are to be kept in the maximum number of identical boxes so that each box has the same number of both types of books. How many boxes can be made?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the smallest number that leaves remainder (9) when divided by (28), (42), and (56)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (m=2^3\times3^a\times7) and (n=2^5\times3^2\times5^2\times7^b) have LCM (2^5\times3^4\times5^2\times7^3), which values are correct?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (x=2^a\times3^4\times5) and (y=2^6\times3^b\times11) have HCF (2^5\times3^3), which values are possible?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsThree machines give signals at intervals of (16), (24), and (40) minutes respectively. If they signal together now, after how many minutes will they signal together again?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (a=2^4\times3^2\times13) and (b=2^2\times3^5\times5\times13), what is (\frac{\text{LCM}}{\text{HCF}})?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the greatest number that can exactly divide (225), (375), and (525)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the smallest number exactly divisible by (54), (72), and (90)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsThe HCF of two numbers is (48), their LCM is (1440), and one number is (240). What is the other number?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsThe product of two numbers is (66528) and their HCF is (72). What will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the LCM of (63), (98), and (154)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the prime factorisations of two numbers are (2^7\times3^2\times11) and (2^5\times3^4\times5), what will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhich option correctly gives the HCF of (2^3\times3^2\times7) and (2^5\times3\times7^2)?Class 10Real NumbersHCF and LCM using prime factorisationHard