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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।

MathematicsTwo numbers are (2^4\times3^2) and (2^2\times3\times5^2). The product of their HCF and LCM will be equal to what?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the greatest number that can exactly divide (168), (252), and (420)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the smallest number exactly divisible by (24), (36), and (54)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (a=2^5\times3^2\times11) and (b=2^3\times3^4\times5), what is the value of (\frac{\text{LCM}}{\text{HCF}})?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsThe product of two numbers is (12960) and their HCF is (36). What is their LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsThe prime factorisations of three numbers are (2^4\times3\times5^2), (2^2\times3^3\times5), and (2^3\times3^2\times7). What is their LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of two numbers is (18), their LCM is (540), and one number is (90), what is the other number?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the prime factorisations of two numbers are (2^3\times3^2\times5) and (2^2\times3^3\times7), what is their HCF?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsThe HCF of two numbers is (15) and their LCM is (630). Which statement is definitely true?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the smallest number which leaves remainder (0) when divided by (45), (54), and (72)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (72), (108), and (180) are divided by the greatest possible number and each division is exact, what is that number?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsTwo numbers are (2^a\times 3\times 5^2) and (2^2\times 3^4\times 5^b). If their LCM is (2^5\times 3^4\times 5^3), what is ((a,b))?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsTwo numbers are (2^a\times 3^2\times 5) and (2^4\times 3^b\times 7). If their HCF is (2^3\times 3^2), which option is correct for ((a,b))?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (A=2^3\times 3^2\times 11) and (B=2^5\times 3\times 5\times 11^2), how many distinct prime factors are there in their LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (A=2^6\times 3^2\times 5) and (B=2^4\times 3^5\times 7), how many prime factors are there in their HCF, counting repetition?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the smallest number greater than (1000) that is exactly divisible by (36), (48), and (60)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsThe HCF of two numbers is (2^2\times 3^2) and their LCM is (2^5\times 3^2\times 5\times 7). If one number is (2^5\times 3^2\times 5), what is the other number?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of two numbers is (1) and their product is (7429), what is their LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (x=2^4\times 3^3\times 7) and (y=2^2\times 3^5\times 5), what is (\frac{xy}{\text{HCF}}) equal to?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsTwo numbers are (a=2^5\times 3^2\times 5) and (b=2^3\times 3^4\times 5^2). What is the value of (\frac{\text{LCM}}{\text{HCF}})?Class 10Real NumbersHCF and LCM using prime factorisationHard