Least Common Multiple of 10, 78, 390
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 10, 78, 390 i.e. 390 smallest integer divisible by all numbers.
Least common multiple (LCM) of 10, 78, 390 is 390.
LCM(10, 78, 390) = 390
LCM of 10, 78, 390
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 10, 78, 390 by common division method
- Least Common Multiple of 10, 78, 390 with GCF Formula
Least Common Multiple (LCM) of 10,78,390 is 390
| 2 | 10, 78, 390 |
| 3 | 5, 39, 195 |
| 5 | 5, 13, 65 |
| 13 | 1, 13, 13 |
| 1, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 1 x 1 = 390
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 10,78,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,78,390) = 2
common factors(in case of two or more numbers have common factors) = 390
GCF(10,78,390) x common factors =2 x 390 = 780
LCM(10,78,390) = ( 10 × 78 × 390 ) / 780
LCM(10,78,390) = 304200 / 780
LCM(10,78,390) = 390
∴ Least Common Multiple of 10,78,390 is 390
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 10, 78, 390
1. What is the LCM of 10, 78, 390?
Answer: LCM of 10, 78, 390 is 390.
2. What are the Factors of 390?
Answer: Factors of 390 are . There are integers that are factors of 390
3. How to Find the LCM of 10, 78, 390 ?
Least Common Multiple of 10, 78, 390.
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(10, 78, 390) = 2 x 3 x 5 x 13 = 390.