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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 two numbers are (2^3\times3\times7) and (2\times3^2\times5), what is their LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhich statement is correct for (150) and (210)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (a=2^3\times3^2\times5) and (b=2^5\times3\times5^2), what will be the power of (5) in their HCF?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of two numbers is (16) and their LCM is (640), what is their product?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsThe prime factorisations of three numbers are (2^2\times3^3), (2^4\times3^2\times5), and (2^3\times3\times7). What is their HCF?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf a number leaves remainder (3) when divided by (16), (20), and (25), what is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (252=2^2\times3^2\times7) and (330=2\times3\times5\times11), how many distinct prime factors will their LCM have?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of (126) and (315) is (63), what is their LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf two numbers are coprime and their LCM is (221), what is their product?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhich pair has HCF (18) and LCM (540)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsThe HCF of two numbers is (30) and their LCM is (900). If the numbers are (30a) and (30b), which statement about (a) and (b) is correct?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (m=2^2\times3^a\times5) and (n=2^5\times3^3\times5^b) have LCM (2^5\times3^4\times5^2), which values can be correct?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (x=2^a\times3^2\times5) and (y=2^4\times3^b\times7) have HCF (2^3\times3^2), which values are possible?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the smallest number that leaves remainder (5) when divided by (18), (24), and (30)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsA class has (84) pencils and (126) erasers. They are to be divided into the maximum number of identical packets. How many packets can be made?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsThree bells ring at intervals of (20), (28), and (35) seconds. They ring together now. After how many seconds will they ring together again?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (p=2^4\times3^3\times5) and (q=2^2\times3\times5^2\times11), what is (\frac{\text{LCM}}{\text{HCF}})?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of two numbers is (18) and their LCM is (378), which statement is correct?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the greatest number that can exactly divide (144), (216), and (360)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the smallest number exactly divisible by (32), (48), and (80)?Class 10Real NumbersHCF and LCM using prime factorisationHard