Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 456, 436, 971 i.e. 48262584 smallest integer divisible by all numbers.
Least common multiple (LCM) of 456, 436, 971 is 48262584.
LCM(456, 436, 971) = 48262584
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 456, 436, 971 |
2 | 228, 218, 971 |
114, 109, 971 |
∴ So the LCM of the given numbers is 2 x 2 x 114 x 109 x 971 = 48262584
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 456,436,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,436,971) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(456,436,971) x common factors =1 x 4 = 4
LCM(456,436,971) = ( 456 × 436 × 971 ) / 4
LCM(456,436,971) = 193050336 / 4
LCM(456,436,971) = 48262584
∴ Least Common Multiple of 456,436,971 is 48262584
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 456, 436, 971?
Answer: LCM of 456, 436, 971 is 48262584.
2. What are the Factors of 48262584?
Answer: Factors of 48262584 are . There are integers that are factors of 48262584
3. How to Find the LCM of 456, 436, 971 ?
Least Common Multiple of 456, 436, 971.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(456, 436, 971) = 2 x 2 x 2 x 3 x 19 x 109 x 971 = 48262584.