Least Common Multiple of 390, 1560
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 390, 1560 i.e. 1560 smallest integer divisible by all numbers.
Least common multiple (LCM) of 390, 1560 is 1560.
LCM(390, 1560) = 1560
LCM of 390, 1560
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 390, 1560 by common division method
- Least Common Multiple of 390, 1560 with GCF Formula
Least Common Multiple (LCM) of 390,1560 is 1560
| 2 | 390, 1560 |
| 3 | 195, 780 |
| 5 | 65, 260 |
| 13 | 13, 52 |
| 1, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 4 = 1560
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 390,1560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,1560) = 390
common factors(in case of two or more numbers have common factors) = 1
GCF(390,1560) x common factors =390 x 1 = 390
LCM(390,1560) = ( 390 × 1560 ) / 390
LCM(390,1560) = 608400 / 390
LCM(390,1560) = 1560
∴ Least Common Multiple of 390,1560 is 1560
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Frequently Asked Questions on LCM of 390, 1560
1. What is the LCM of 390, 1560?
Answer: LCM of 390, 1560 is 1560.
2. What are the Factors of 1560?
Answer: Factors of 1560 are . There are integers that are factors of 1560
3. How to Find the LCM of 390, 1560 ?
Least Common Multiple of 390, 1560.
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(390, 1560) = 2 x 2 x 2 x 3 x 5 x 13 = 1560.