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 210, 728, 951, 715, 832 i.e. 304624320 smallest integer divisible by all numbers.
Least common multiple (LCM) of 210, 728, 951, 715, 832 is 304624320.
LCM(210, 728, 951, 715, 832) = 304624320
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 210, 728, 951, 715, 832 |
2 | 105, 364, 951, 715, 416 |
2 | 105, 182, 951, 715, 208 |
3 | 105, 91, 951, 715, 104 |
5 | 35, 91, 317, 715, 104 |
7 | 7, 91, 317, 143, 104 |
13 | 1, 13, 317, 143, 104 |
1, 1, 317, 11, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 13 x 1 x 1 x 317 x 11 x 8 = 304624320
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 210,728,951,715,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,728,951,715,832) = 1
common factors(in case of two or more numbers have common factors) = 283920
GCF(210,728,951,715,832) x common factors =1 x 283920 = 283920
LCM(210,728,951,715,832) = ( 210 × 728 × 951 × 715 × 832 ) / 283920
LCM(210,728,951,715,832) = 86488936934400 / 283920
LCM(210,728,951,715,832) = 304624320
∴ Least Common Multiple of 210,728,951,715,832 is 304624320
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 210, 728, 951, 715, 832?
Answer: LCM of 210, 728, 951, 715, 832 is 304624320.
2. What are the Factors of 304624320?
Answer: Factors of 304624320 are . There are integers that are factors of 304624320
3. How to Find the LCM of 210, 728, 951, 715, 832 ?
Least Common Multiple of 210, 728, 951, 715, 832.
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(210, 728, 951, 715, 832) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 x 317 = 304624320.