Question

find the smallest number divisible by number 2 to 9

Answer 1

LCM = 2³ × 3² × 5¹ × 7¹  = 2520.Take the numbers 2, 3, 4, 5, 6, 7, 8 and 9. Therefore, The smallest number divisible by numbers 2 to 9 is 2520.......LCM of 2,3,4,5,6,7,8,9

2 = 2¹ × 3⁰ × 5⁰ × 7⁰
3 = 2⁰ × 3¹ × 5⁰ × 7⁰
4 = 2² × 3⁰ × 5⁰ × 7⁰
5 = 2⁰ × 3⁰ × 5¹ × 7⁰
6 = 2¹ × 3¹ × 5⁰ × 7⁰
7 = 2⁰ × 3⁰ × 5⁰ × 7¹
8 = 2³ × 3⁰ × 5⁰ × 7⁰
9 = 2⁰ × 3² × 5⁰ × 7⁰