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 120, 329, 966, 349, 315 i.e. 950717880 smallest integer divisible by all numbers.
Least common multiple (LCM) of 120, 329, 966, 349, 315 is 950717880.
LCM(120, 329, 966, 349, 315) = 950717880
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 120, 329, 966, 349, 315 |
3 | 60, 329, 483, 349, 315 |
5 | 20, 329, 161, 349, 105 |
7 | 4, 329, 161, 349, 21 |
4, 47, 23, 349, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 4 x 47 x 23 x 349 x 3 = 950717880
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 120,329,966,349,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,329,966,349,315) = 1
common factors(in case of two or more numbers have common factors) = 4410
GCF(120,329,966,349,315) x common factors =1 x 4410 = 4410
LCM(120,329,966,349,315) = ( 120 × 329 × 966 × 349 × 315 ) / 4410
LCM(120,329,966,349,315) = 4192665850800 / 4410
LCM(120,329,966,349,315) = 950717880
∴ Least Common Multiple of 120,329,966,349,315 is 950717880
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 120, 329, 966, 349, 315?
Answer: LCM of 120, 329, 966, 349, 315 is 950717880.
2. What are the Factors of 950717880?
Answer: Factors of 950717880 are . There are integers that are factors of 950717880
3. How to Find the LCM of 120, 329, 966, 349, 315 ?
Least Common Multiple of 120, 329, 966, 349, 315.
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(120, 329, 966, 349, 315) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 23 x 47 x 349 = 950717880.