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 119, 816, 400 i.e. 142800 smallest integer divisible by all numbers.
Least common multiple (LCM) of 119, 816, 400 is 142800.
LCM(119, 816, 400) = 142800
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 119, 816, 400 |
2 | 119, 408, 200 |
2 | 119, 204, 100 |
2 | 119, 102, 50 |
17 | 119, 51, 25 |
7, 3, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 7 x 3 x 25 = 142800
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 119,816,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,816,400) = 1
common factors(in case of two or more numbers have common factors) = 272
GCF(119,816,400) x common factors =1 x 272 = 272
LCM(119,816,400) = ( 119 × 816 × 400 ) / 272
LCM(119,816,400) = 38841600 / 272
LCM(119,816,400) = 142800
∴ Least Common Multiple of 119,816,400 is 142800
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 119, 816, 400?
Answer: LCM of 119, 816, 400 is 142800.
2. What are the Factors of 142800?
Answer: Factors of 142800 are . There are integers that are factors of 142800
3. How to Find the LCM of 119, 816, 400 ?
Least Common Multiple of 119, 816, 400.
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(119, 816, 400) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 17 = 142800.