Question

Find the least number that is divisible by all the numbers from 3 to 7 (both inclusive).
a) 400
(c) 420
(b) 410
(d) 430

Answer 1

Answer:

LCM of 3,4,5,6,7 is 420

than,420 is divisible by 3 to 7.

Answer 2

To find : least number divisible by all the numbers from $3$ to $7$

Solution :

• To find least number divisible we find LCM of numbers from $3$ to $7$.
•  Factors of $3 = 1\times 3$

• Factors of $4 = 1\times 2\times 2$

• Factors of $5 = 1\times 5$

• Factors of $6 = 1\times 2\times 3$
• Factors of $7 = 1\times 7$

• $LCM = 2\times 2\times 3\times 5\times 7$

                  $= 420$

Hence, least number divisible by numbers from $3$ to $7$ is $420$.