Short Answer TypeFind the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91
Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (ii) 510 and 92
Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (iii) 336 and 54
Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12, 15 and 21
Find the LCM and HCF of the following integers by applying the prime factorisation method. (ii) 17, 23 and 29
Find the LCM and HCF of the following integers by applying the prime factorisation method. (iii) 8, 9 and 25
(iii) 8, 9 and 25
Now, 8 = 2 × 2 × 2 = 23,
9 = 3 × 3 = 32
and 25 = 5 × 5 = 52
Since, there is no smallest common factor.
∴ H.C.F. (8, 9, 25) = 1.
And 23, 32, and 52 are greatest powers of prime factors.
∴ L.C.M. (8, 9, 25) = 23 × 32 × 52 = 1800.
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
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