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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 (108), (162), and (270), what is the value of (L)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 13Hard MathematicsIf the HCF of (2^4\times3^3\times5), (2^2\times3^5\times5^2), and (2^6\times3^2\times7) is found, what will it be?Class 10Real NumbersHCF and LCM using prime factorisationLevel 13Hard MathematicsIf the prime factorisations of two numbers are (2^7\times3^2\times11) and (2^5\times3^4\times5), what will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationLevel 13Hard MathematicsWhich option correctly gives the HCF of (2^3\times3^2\times7) and (2^5\times3\times7^2)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Hard MathematicsIf (L) is the LCM of (75), (125), and (200), what is the correct value of (L)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Hard MathematicsIf (L) is the LCM of (75), (125), and (200), what is the value of (L)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Hard MathematicsIf the HCF of (2^3\times3\times5^2), (2^2\times3^4\times5), and (2^5\times3^2) is found, what will it be?Class 10Real NumbersHCF and LCM using prime factorisationLevel 12Hard MathematicsIf the prime factorisations of two numbers are (2^6\times3\times5^2) and (2^4\times3^3\times5\times11), what will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationLevel 13Hard MathematicsIf (a) and (b) are coprime, (a=2^2\times5), and (ab=420), what is (b)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsIf the prime factorisations of two numbers are (2^5\times3^2\times5) and (2^3\times3^4\times7), what will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Hard MathematicsIf (96=2^5\times3) and (144=2^4\times3^2), what is the LCM of (96) and (144)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard 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 factorisationLevel 10Hard MathematicsWhat is the smallest number which leaves remainder (0) when divided by (45), (54), and (72)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard 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 factorisationLevel 10Hard 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 factorisationLevel 10Hard MathematicsWhat is the smallest number greater than (1000) that is exactly divisible by (36), (48), and (60)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsA shopkeeper wants to pack (96), (144), and (240) sweets equally into boxes. What is the greatest number of sweets that can be put in each box?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsThree bells ring at intervals of (18), (24), and (30) minutes. If they start ringing together, after how many minutes will they ring together again?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsWhat is the greatest number that leaves remainder (5) when dividing (137), (185), and (257)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard MathematicsIf the HCF of two numbers is (2^2\times 3) and their LCM is (2^5\times 3^3\times 5), what is the exponent of (2) in the product of the two numbers?Class 10Real NumbersHCF and LCM using prime factorisationLevel 10Hard