Find the h.c.f. and l.c.m. of 40,36,124
Answers
cuemath_logo
LCM of 40, 36 and 126
Book a Free Class
Question: What is the LCM of 40, 36 and 126?
LCM of 40, 36 and 126 is the least number which is exactly divisible by 40, 36 and 126
Answer: LCM of 40, 36 and 126 is 2520
We will explain two methods to find LCM of 40, 36 and 126.
Explanation:
Least Common Multiple is the smallest number which is exactly divisible by 40, 36 and 126.
LCM of 40, 36 and 126 by Common Division Method
LCM of 40, 36 and 126 by Prime Factorization Method
Method1: LCM of 40, 36 and 126 by Common Division Method
In this division method, we divide 40, 36 and 126 simultaneously with prime numbers and stop it when we don't have a prime number to divide 40, 36 and 126.
LCM of 40, 36 and 126 by Common Division Method
LCM(40, 36, 126) = 2 × 2 × 2 × 3 × 3 × 5 × 7 = 2520
Method2: LCM of 40, 36 and 126 by Prime Factorization Method
Prime Factorization of 40 = 2 × 2 × 2 × 5 = 23 × 5
Prime Factorization of 36 = 2 × 2 × 3 × 3 = 22 × 32
Prime Factorization of 126 = 2 × 3 × 3 × 7 = 2 × 32 × 7
LCM is the product of all prime factors, the greatest number of times they occur in either number.
LCM(40, 36, 126) = 23 × 32 × 5 × 7
= 8 × 9 × 5 × 7
= 2,520
So, LCM of 40, 36 and 126 = 2520
Therefore: LCM of 40, 36 and 126 is 2520