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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 HCF of (2^a\times3^5\times7) and (2^7\times3^2\times7^2) is (2^5\times3^2\times7), which value of (a) is possible?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsA number is divisible by both (2^4\times3^2\times5) and (2^6\times3\times7). What will be the value of the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (L) is the LCM of (2^3\times5^2\times11) and (2^5\times3\times5\times11^2), what will be the power of (11) in (L)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of two numbers is (44) and their LCM is (990), what is correct about their existence?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe HCF of two numbers is (18) and their LCM is (6930). How many unordered pairs of such numbers are possible?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the LCM of (128), (192), and (343) is found, what will be the power of (7) in it?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe prime factorisations of three numbers are (2^5\times3^2\times5), (2^3\times3^4\times7), and (2^4\times3\times11). What will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf two numbers are coprime and their product is (1517), what will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf a number is divisible by both (2^6\times3^2\times7) and (2^4\times3^5\times13), what will be the power of (3) in the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of (264) and (396) is (132), what is the difference between their LCM and HCF?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of (221), (323), and (437) is found, what is the correct value?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (L) is the LCM and (H) is the HCF of (2^6\times3^2\times5^4) and (2^3\times3^5\times5), what will be the powers of (5) in (L) and (H) respectively?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the LCM of (196), (225), and (308) is found, how many distinct prime factors will it have?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of (216), (324), and (540) is found, what will be the power of (3) in it?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe HCF of two numbers is (84) and their LCM is (5460). If the numbers are taken as (84r) and (84s), what is the value of (rs)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (p=2^4\times3^2\times5\times7) and (q=2^4\times3^2\times5\times7\times19), which statement about (p) and (q) is correct?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsWhat is the smallest number exactly divisible by (121), (144), and (250)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (192), (288), and (480) are to be divided into the maximum number of equal parts, what will be the number of parts?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of (330) and (462) is (66), what is the ratio of their LCM to their HCF?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of two numbers is (2^5\times3^2) and their LCM is (2^9\times3^4\times5), what will be the total power of (3) in their product?Class 10Real NumbersHCF and LCM using prime factorisationExpert