Least Common Multiple of 60, 34, 204
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 60, 34, 204 i.e. 1020 smallest integer divisible by all numbers.
Least common multiple (LCM) of 60, 34, 204 is 1020.
LCM(60, 34, 204) = 1020
LCM of 60, 34, 204
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 60, 34, 204 by common division method
- Least Common Multiple of 60, 34, 204 with GCF Formula
Least Common Multiple (LCM) of 60,34,204 is 1020
| 2 | 60, 34, 204 |
| 2 | 30, 17, 102 |
| 3 | 15, 17, 51 |
| 17 | 5, 17, 17 |
| 5, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 5 x 1 x 1 = 1020
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 60,34,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,34,204) = 2
common factors(in case of two or more numbers have common factors) = 204
GCF(60,34,204) x common factors =2 x 204 = 408
LCM(60,34,204) = ( 60 × 34 × 204 ) / 408
LCM(60,34,204) = 416160 / 408
LCM(60,34,204) = 1020
∴ Least Common Multiple of 60,34,204 is 1020
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
Frequently Asked Questions on LCM of 60, 34, 204
1. What is the LCM of 60, 34, 204?
Answer: LCM of 60, 34, 204 is 1020.
2. What are the Factors of 1020?
Answer: Factors of 1020 are . There are integers that are factors of 1020
3. How to Find the LCM of 60, 34, 204 ?
Least Common Multiple of 60, 34, 204.
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(60, 34, 204) = 2 x 2 x 3 x 5 x 17 = 1020.