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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 (L) is the LCM of (2^2\times3^5\times5) and (2^4\times3^2\times5^3), what will be the power of (5) in (L)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of two numbers is (20) and their LCM is (420), what is correct about their existence?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of two numbers is (24) and their LCM is (1080), which conclusion is correct?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of two numbers is (24) and their LCM is (1080), which conclusion is correct?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the LCM of (88), (132), and (220)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (H) is the HCF of (63), (105), and (147), what is the value of (H)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (54), (90), and (126) are to be divided by the same greatest possible number, what is that number?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of two numbers is (18) and their LCM is (810), what will be their product?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (a=2^2\times3^3\times5) and (b=2^4\times3\times5^2), what will be the power of (3) in their HCF?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (H) is the HCF and (L) is the LCM of (2^3\times3^2\times5) and (2^5\times3\times7), what is (LH) equal to?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the smallest number exactly divisible by (25), (40), and (64)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf ropes of (72) metres and (120) metres are to be cut into equal pieces of maximum length, what will be the length of each piece?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsThe HCF of two numbers is (32) and their LCM is (768). What will be the total power of (2) in their product?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of two numbers is (32) and their LCM is (768), what is the total power of (2) in their product?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the LCM of (45), (60), and (84) is found, how many distinct prime factors will it have?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (A=2^4\times3\times5^2) and (B=2^2\times3^3\times5), what will be the power of (5) in their LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhich statement is correct for (112) and (168)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of two numbers is (27) and their LCM is (1215), and the numbers are taken as (27r) and (27s), what is the value of (rs)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsA number is divisible by both (2^5\times3^2\times11) and (2^3\times3^4\times5). What will be the power of (3) in the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (165=3\times5\times11) and (231=3\times7\times11), what is the sum of their HCF and LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard