Least Common Multiple of 70, 72, 378
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, 72, 378 i.e. 7560 smallest integer divisible by all numbers.
Least common multiple (LCM) of 70, 72, 378 is 7560.
LCM(70, 72, 378) = 7560
LCM of 70, 72, 378
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 70, 72, 378 by common division method
- Least Common Multiple of 70, 72, 378 with GCF Formula
Least Common Multiple (LCM) of 70,72,378 is 7560
| 2 | 70, 72, 378 |
| 3 | 35, 36, 189 |
| 3 | 35, 12, 63 |
| 7 | 35, 4, 21 |
| 5, 4, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 4 x 3 = 7560
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 70,72,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,72,378) = 2
common factors(in case of two or more numbers have common factors) = 126
GCF(70,72,378) x common factors =2 x 126 = 252
LCM(70,72,378) = ( 70 × 72 × 378 ) / 252
LCM(70,72,378) = 1905120 / 252
LCM(70,72,378) = 7560
∴ Least Common Multiple of 70,72,378 is 7560
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 70, 72, 378
1. What is the LCM of 70, 72, 378?
Answer: LCM of 70, 72, 378 is 7560.
2. What are the Factors of 7560?
Answer: Factors of 7560 are . There are integers that are factors of 7560
3. How to Find the LCM of 70, 72, 378 ?
Least Common Multiple of 70, 72, 378.
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, 72, 378) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 = 7560.