Least Common Multiple of 75, 76, 150
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 75, 76, 150 i.e. 5700 smallest integer divisible by all numbers.
Least common multiple (LCM) of 75, 76, 150 is 5700.
LCM(75, 76, 150) = 5700
LCM of 75, 76, 150
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 75, 76, 150 by common division method
- Least Common Multiple of 75, 76, 150 with GCF Formula
Least Common Multiple (LCM) of 75,76,150 is 5700
| 2 | 75, 76, 150 |
| 3 | 75, 38, 75 |
| 5 | 25, 38, 25 |
| 5 | 5, 38, 5 |
| 1, 38, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 38 x 1 = 5700
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 75,76,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,76,150) = 1
common factors(in case of two or more numbers have common factors) = 150
GCF(75,76,150) x common factors =1 x 150 = 150
LCM(75,76,150) = ( 75 × 76 × 150 ) / 150
LCM(75,76,150) = 855000 / 150
LCM(75,76,150) = 5700
∴ Least Common Multiple of 75,76,150 is 5700
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 75, 76, 150
1. What is the LCM of 75, 76, 150?
Answer: LCM of 75, 76, 150 is 5700.
2. What are the Factors of 5700?
Answer: Factors of 5700 are . There are integers that are factors of 5700
3. How to Find the LCM of 75, 76, 150 ?
Least Common Multiple of 75, 76, 150.
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(75, 76, 150) = 2 x 2 x 3 x 5 x 5 x 19 = 5700.