Question

The smallest number which when diminished by 3 is divisible by 14,28,36, and 45 is

Answer 1

Answer:

1263

Step-by-step explanation:

factors of 14 = 2 x 7

factors of 28 = 2 x 2 x 7

factors of 36 = 2 x 2 x 3 x 3

factors of 45 = 3 x 3 x 5

so, LCM = 2 x 2 x 7 x 3 x 3 x 5

= 1260

therefore the smallest number = 1260 + 3

= 1263