Least Common Multiple of 12, 25, 105
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, 25, 105 i.e. 2100 smallest integer divisible by all numbers.
Least common multiple (LCM) of 12, 25, 105 is 2100.
LCM(12, 25, 105) = 2100
LCM of 12, 25, 105
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 12, 25, 105 by common division method
- Least Common Multiple of 12, 25, 105 with GCF Formula
Least Common Multiple (LCM) of 12,25,105 is 2100
| 3 | 12, 25, 105 |
| 5 | 4, 25, 35 |
| 4, 5, 7 |
∴ So the LCM of the given numbers is 3 x 5 x 4 x 5 x 7 = 2100
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 12,25,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,25,105) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(12,25,105) x common factors =1 x 15 = 15
LCM(12,25,105) = ( 12 × 25 × 105 ) / 15
LCM(12,25,105) = 31500 / 15
LCM(12,25,105) = 2100
∴ Least Common Multiple of 12,25,105 is 2100
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 12, 25, 105
1. What is the LCM of 12, 25, 105?
Answer: LCM of 12, 25, 105 is 2100.
2. What are the Factors of 2100?
Answer: Factors of 2100 are . There are integers that are factors of 2100
3. How to Find the LCM of 12, 25, 105 ?
Least Common Multiple of 12, 25, 105.
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, 25, 105) = 2 x 2 x 3 x 5 x 5 x 7 = 2100.