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 952, 768, 380, 384 i.e. 8682240 smallest integer divisible by all numbers.
Least common multiple (LCM) of 952, 768, 380, 384 is 8682240.
LCM(952, 768, 380, 384) = 8682240
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 952, 768, 380, 384 |
2 | 476, 384, 190, 192 |
2 | 238, 96, 95, 192 |
2 | 119, 48, 95, 96 |
2 | 119, 24, 95, 48 |
2 | 119, 12, 95, 24 |
2 | 119, 6, 95, 12 |
3 | 119, 3, 95, 6 |
119, 1, 95, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 119 x 1 x 95 x 2 = 8682240
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 952,768,380,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,768,380,384) = 4
common factors(in case of two or more numbers have common factors) = 3072
GCF(952,768,380,384) x common factors =4 x 3072 = 12288
LCM(952,768,380,384) = ( 952 × 768 × 380 × 384 ) / 12288
LCM(952,768,380,384) = 106687365120 / 12288
LCM(952,768,380,384) = 8682240
∴ Least Common Multiple of 952,768,380,384 is 8682240
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 952, 768, 380, 384?
Answer: LCM of 952, 768, 380, 384 is 8682240.
2. What are the Factors of 8682240?
Answer: Factors of 8682240 are . There are integers that are factors of 8682240
3. How to Find the LCM of 952, 768, 380, 384 ?
Least Common Multiple of 952, 768, 380, 384.
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(952, 768, 380, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 x 19 = 8682240.