Least Common Multiple of 12, 15, 100
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 12, 15, 100 i.e. 300 smallest integer divisible by all numbers.
Least common multiple (LCM) of 12, 15, 100 is 300.
LCM(12, 15, 100) = 300
LCM of 12, 15, 100
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 12, 15, 100 by common division method
- Least Common Multiple of 12, 15, 100 with GCF Formula
Least Common Multiple (LCM) of 12,15,100 is 300
| 2 | 12, 15, 100 |
| 2 | 6, 15, 50 |
| 3 | 3, 15, 25 |
| 5 | 1, 5, 25 |
| 1, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 5 = 300
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 12,15,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,15,100) = 1
common factors(in case of two or more numbers have common factors) = 60
GCF(12,15,100) x common factors =1 x 60 = 60
LCM(12,15,100) = ( 12 × 15 × 100 ) / 60
LCM(12,15,100) = 18000 / 60
LCM(12,15,100) = 300
∴ Least Common Multiple of 12,15,100 is 300
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 12, 15, 100
1. What is the LCM of 12, 15, 100?
Answer: LCM of 12, 15, 100 is 300.
2. What are the Factors of 300?
Answer: Factors of 300 are . There are integers that are factors of 300
3. How to Find the LCM of 12, 15, 100 ?
Least Common Multiple of 12, 15, 100.
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(12, 15, 100) = 2 x 2 x 3 x 5 x 5 = 300.