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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 and (H) is the HCF of (2^6\times3^2\times5) and (2^3\times3^6\times5^2), what will be the powers of (3) in (L) and (H) respectively?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsA number leaves remainder (0) when divided by (168), (210), and (280). What is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsIf the LCM of (2^5\times3^3), (2^7\times3^2\times5), and (2^4\times3^5\times7) is found, what will be the power of (2) in it?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsIf a number leaves remainder (15) when divided by (40), (56), and (88), what is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsIf (L) is the LCM of (98), (147), and (245), what is the value of (L)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsIf the LCM of (2^4\times3^b\times7) and (2^5\times3^3\times7^2) is (2^5\times3^6\times7^2), what can be the value of (b)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsA number is divisible by both (2^5\times3^4\times5) and (2^7\times3^2\times11). What will be the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsIf the HCF of (132) and (220) is (44), what will be the power of (5) in their LCM?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsIf the LCM of (68), (85), and (289) is found, what will be the power of (17) in it?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsIf two numbers are coprime and their product is (1147), what will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsIf a number is divisible by both (2^6\times3^3\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 factorisationLevel 11ExpertMathematicsIf the HCF of (224) and (336) is (112), what is the difference between their LCM and HCF?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsIf (L) is the LCM and (H) is the HCF of (2^8\times3^2\times5) and (2^5\times3^6\times5^4), what will be the powers of (5) in (L) and (H) respectively?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsIf the LCM of (112), (180), and (225) is found, how many distinct prime factors will it have?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsWhat is the smallest number exactly divisible by (81), (96), and (125)?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsFour automatic signals ring at intervals of (18), (27), (45), and (60) seconds respectively. They ring together now. After how many seconds will they ring together again?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsIf (m=2^2\times3^a\times5^3) and (n=2^6\times3^3\times5^b\times7) have LCM (2^6\times3^5\times5^4\times7), which values are correct?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsA number leaves remainders (29), (47), and (83) when divided by (36), (54), and (90) respectively. What is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsIf (a=2^6\times3^2\times5\times13) and (b=2^3\times3^5\times5^2), what is (\frac{\text{LCM}}{\text{HCF}})?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11ExpertMathematicsThe prime factorisations of three numbers are (2^4\times3^2\times7), (2^2\times3^4\times5), and (2^5\times3\times11). What will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationLevel 11Expert