Least Common Multiple of 39, 78, 111
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 39, 78, 111 i.e. 2886 smallest integer divisible by all numbers.
Least common multiple (LCM) of 39, 78, 111 is 2886.
LCM(39, 78, 111) = 2886
LCM of 39, 78, 111
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 39, 78, 111 by common division method
- Least Common Multiple of 39, 78, 111 with GCF Formula
Least Common Multiple (LCM) of 39,78,111 is 2886
| 3 | 39, 78, 111 |
| 13 | 13, 26, 37 |
| 1, 2, 37 |
∴ So the LCM of the given numbers is 3 x 13 x 1 x 2 x 37 = 2886
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 39,78,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,78,111) = 3
common factors(in case of two or more numbers have common factors) = 39
GCF(39,78,111) x common factors =3 x 39 = 117
LCM(39,78,111) = ( 39 × 78 × 111 ) / 117
LCM(39,78,111) = 337662 / 117
LCM(39,78,111) = 2886
∴ Least Common Multiple of 39,78,111 is 2886
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Frequently Asked Questions on LCM of 39, 78, 111
1. What is the LCM of 39, 78, 111?
Answer: LCM of 39, 78, 111 is 2886.
2. What are the Factors of 2886?
Answer: Factors of 2886 are . There are integers that are factors of 2886
3. How to Find the LCM of 39, 78, 111 ?
Least Common Multiple of 39, 78, 111.
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(39, 78, 111) = 2 x 3 x 13 x 37 = 2886.