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 377, 116, 312 i.e. 9048 smallest integer divisible by all numbers.
Least common multiple (LCM) of 377, 116, 312 is 9048.
LCM(377, 116, 312) = 9048
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 377, 116, 312 |
2 | 377, 58, 156 |
13 | 377, 29, 78 |
29 | 29, 29, 6 |
1, 1, 6 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 29 x 1 x 1 x 6 = 9048
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 377,116,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,116,312) = 1
common factors(in case of two or more numbers have common factors) = 1508
GCF(377,116,312) x common factors =1 x 1508 = 1508
LCM(377,116,312) = ( 377 × 116 × 312 ) / 1508
LCM(377,116,312) = 13644384 / 1508
LCM(377,116,312) = 9048
∴ Least Common Multiple of 377,116,312 is 9048
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 116, 312?
Answer: LCM of 377, 116, 312 is 9048.
2. What are the Factors of 9048?
Answer: Factors of 9048 are . There are integers that are factors of 9048
3. How to Find the LCM of 377, 116, 312 ?
Least Common Multiple of 377, 116, 312.
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(377, 116, 312) = 2 x 2 x 2 x 3 x 13 x 29 = 9048.