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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।

MathematicsWhich option correctly gives the LCM of (54), (81), and (135)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsWhich option correctly gives the HCF of (48), (72), and (108)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf the HCF of two numbers is (2^2\times3) and their LCM is (2^5\times3^3\times5), what will be the power of (3) in their product?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf (a) and (b) are coprime, (a=2^2\times5), and (ab=420), what is (b)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsA number is divisible by (2^4\times3^2\times5) and also by (2^3\times3^4\times7). What will be the power of (3) in the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf the HCF of (72), (90), and (150) is found, what will be the power of (3)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf the HCF of (2^a\times3^2) and (2^5\times3^4) is (2^3\times3^2), what is correct about (a)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf the HCF of two numbers is (21) and their LCM is (462), which pair is possible?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsWhich number will be a multiple of both (2^5\times3^2\times5) and (2^3\times3^4\times7)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf the HCF of two numbers is (45) and their LCM is (1260), what is the correct statement about the existence of the two numbers?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIn a ground, (132) plants and (198) flags are to be arranged in equal rows. Each row should have the same number of each item separately, and the number of rows should be maximum. What is the maximum number of rows?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf (108=2^2\times3^3) and (180=2^2\times3^2\times5), what is the ratio of their LCM to HCF?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf (A=2^3\times3^2\times5^2) and (B=2^4\times3\times5), what is (\frac{A\times B}{\text{HCF}}) equal to?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsThe HCF of two numbers is (12), and the numbers are (12m) and (12n). If their LCM is (504), what is the value of (mn)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf the HCF of two numbers is (9) and their LCM is (180), which conclusion is correct?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsWhat is the smallest number exactly divisible by (27), (45), and (63)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf the LCM of (40), (64), and (96) is found, what will be the power of (2)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf the HCF of (2^6\times3^2\times5) and (2^4\times3^5\times7) is (M), what is the value of (M)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf ropes of lengths (96) and (160) are to be cut into equal pieces of maximum length, what will be the maximum length of each piece?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf the product of two numbers is (15120) and their LCM is (420), what is their HCF?Class 10Real NumbersHCF and LCM using prime factorisationHard

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