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 334, 920, 442, 368, 793 i.e. 4142441680 smallest integer divisible by all numbers.
Least common multiple (LCM) of 334, 920, 442, 368, 793 is 4142441680.
LCM(334, 920, 442, 368, 793) = 4142441680
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 334, 920, 442, 368, 793 |
2 | 167, 460, 221, 184, 793 |
2 | 167, 230, 221, 92, 793 |
13 | 167, 115, 221, 46, 793 |
23 | 167, 115, 17, 46, 61 |
167, 5, 17, 2, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 23 x 167 x 5 x 17 x 2 x 61 = 4142441680
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 334,920,442,368,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,920,442,368,793) = 1
common factors(in case of two or more numbers have common factors) = 9568
GCF(334,920,442,368,793) x common factors =1 x 9568 = 9568
LCM(334,920,442,368,793) = ( 334 × 920 × 442 × 368 × 793 ) / 9568
LCM(334,920,442,368,793) = 39634881994240 / 9568
LCM(334,920,442,368,793) = 4142441680
∴ Least Common Multiple of 334,920,442,368,793 is 4142441680
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 334, 920, 442, 368, 793?
Answer: LCM of 334, 920, 442, 368, 793 is 4142441680.
2. What are the Factors of 4142441680?
Answer: Factors of 4142441680 are . There are integers that are factors of 4142441680
3. How to Find the LCM of 334, 920, 442, 368, 793 ?
Least Common Multiple of 334, 920, 442, 368, 793.
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(334, 920, 442, 368, 793) = 2 x 2 x 2 x 2 x 5 x 13 x 17 x 23 x 61 x 167 = 4142441680.