Least Common Multiple of 65, 78, 338
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 65, 78, 338 i.e. 5070 smallest integer divisible by all numbers.
Least common multiple (LCM) of 65, 78, 338 is 5070.
LCM(65, 78, 338) = 5070
LCM of 65, 78, 338
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 65, 78, 338 by common division method
- Least Common Multiple of 65, 78, 338 with GCF Formula
Least Common Multiple (LCM) of 65,78,338 is 5070
| 2 | 65, 78, 338 |
| 13 | 65, 39, 169 |
| 5, 3, 13 |
∴ So the LCM of the given numbers is 2 x 13 x 5 x 3 x 13 = 5070
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 65,78,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,78,338) = 13
common factors(in case of two or more numbers have common factors) = 26
GCF(65,78,338) x common factors =13 x 26 = 338
LCM(65,78,338) = ( 65 × 78 × 338 ) / 338
LCM(65,78,338) = 1713660 / 338
LCM(65,78,338) = 5070
∴ Least Common Multiple of 65,78,338 is 5070
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Frequently Asked Questions on LCM of 65, 78, 338
1. What is the LCM of 65, 78, 338?
Answer: LCM of 65, 78, 338 is 5070.
2. What are the Factors of 5070?
Answer: Factors of 5070 are . There are integers that are factors of 5070
3. How to Find the LCM of 65, 78, 338 ?
Least Common Multiple of 65, 78, 338.
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(65, 78, 338) = 2 x 3 x 5 x 13 x 13 = 5070.