Question

Find the smallest number divisible by both 306 and 657

Answer 1

The smallest number that is divisible by two numbers a, b is the least common multiple of a and b. One property of the LCM of two numbers is that the greatest common factor multiplied by the least common multiple of two numbers will be their product.

The greatest common factor of 72 and 96 is 24 and the product of 72 times 96 is 6912. Thus the least common multiple is 691224=288.

Answer 2

आपके द्वारा पूछे गए प्रश्न का उत्तर निम्न लिखित है ।

Since, the smallest number that is divisible by two number is obtained by finding the L.C.M. of these numbers,

Here the given number numbers are,

306 and 657

Since, L.C.M.(306,657) = 22338

Thus, the smallest number which is divisible by both 306 and 657 is 22338.