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 870, 372, 830, 580 i.e. 4477020 smallest integer divisible by all numbers.
Least common multiple (LCM) of 870, 372, 830, 580 is 4477020.
LCM(870, 372, 830, 580) = 4477020
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 870, 372, 830, 580 |
2 | 435, 186, 415, 290 |
3 | 435, 93, 415, 145 |
5 | 145, 31, 415, 145 |
29 | 29, 31, 83, 29 |
1, 31, 83, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 29 x 1 x 31 x 83 x 1 = 4477020
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 870,372,830,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,372,830,580) = 2
common factors(in case of two or more numbers have common factors) = 17400
GCF(870,372,830,580) x common factors =2 x 17400 = 34800
LCM(870,372,830,580) = ( 870 × 372 × 830 × 580 ) / 34800
LCM(870,372,830,580) = 155800296000 / 34800
LCM(870,372,830,580) = 4477020
∴ Least Common Multiple of 870,372,830,580 is 4477020
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 870, 372, 830, 580?
Answer: LCM of 870, 372, 830, 580 is 4477020.
2. What are the Factors of 4477020?
Answer: Factors of 4477020 are . There are integers that are factors of 4477020
3. How to Find the LCM of 870, 372, 830, 580 ?
Least Common Multiple of 870, 372, 830, 580.
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(870, 372, 830, 580) = 2 x 2 x 3 x 5 x 29 x 31 x 83 = 4477020.