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, 510, 861 i.e. 146370 smallest integer divisible by all numbers.
Least common multiple (LCM) of 119, 510, 861 is 146370.
LCM(119, 510, 861) = 146370
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 119, 510, 861 |
7 | 119, 170, 287 |
17 | 17, 170, 41 |
1, 10, 41 |
∴ So the LCM of the given numbers is 3 x 7 x 17 x 1 x 10 x 41 = 146370
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 119,510,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,510,861) = 1
common factors(in case of two or more numbers have common factors) = 357
GCF(119,510,861) x common factors =1 x 357 = 357
LCM(119,510,861) = ( 119 × 510 × 861 ) / 357
LCM(119,510,861) = 52254090 / 357
LCM(119,510,861) = 146370
∴ Least Common Multiple of 119,510,861 is 146370
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 119, 510, 861?
Answer: LCM of 119, 510, 861 is 146370.
2. What are the Factors of 146370?
Answer: Factors of 146370 are . There are integers that are factors of 146370
3. How to Find the LCM of 119, 510, 861 ?
Least Common Multiple of 119, 510, 861.
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, 510, 861) = 2 x 3 x 5 x 7 x 17 x 41 = 146370.