Least Common Multiple of 70, 45, 18
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 70, 45, 18 i.e. 630 smallest integer divisible by all numbers.
Least common multiple (LCM) of 70, 45, 18 is 630.
LCM(70, 45, 18) = 630
LCM of 70, 45, 18
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 70, 45, 18 by common division method
- Least Common Multiple of 70, 45, 18 with GCF Formula
Least Common Multiple (LCM) of 70,45,18 is 630
| 2 | 70, 45, 18 |
| 3 | 35, 45, 9 |
| 3 | 35, 15, 3 |
| 5 | 35, 5, 1 |
| 7, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 1 x 1 = 630
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 70,45,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,45,18) = 1
common factors(in case of two or more numbers have common factors) = 90
GCF(70,45,18) x common factors =1 x 90 = 90
LCM(70,45,18) = ( 70 × 45 × 18 ) / 90
LCM(70,45,18) = 56700 / 90
LCM(70,45,18) = 630
∴ Least Common Multiple of 70,45,18 is 630
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 70, 45, 18
1. What is the LCM of 70, 45, 18?
Answer: LCM of 70, 45, 18 is 630.
2. What are the Factors of 630?
Answer: Factors of 630 are . There are integers that are factors of 630
3. How to Find the LCM of 70, 45, 18 ?
Least Common Multiple of 70, 45, 18.
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(70, 45, 18) = 2 x 3 x 3 x 5 x 7 = 630.