Least Common Multiple of 231, 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 231, 111 i.e. 8547 smallest integer divisible by all numbers.
Least common multiple (LCM) of 231, 111 is 8547.
LCM(231, 111) = 8547
LCM of 231, 111
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 231, 111 by common division method
- Least Common Multiple of 231, 111 with GCF Formula
Least Common Multiple (LCM) of 231,111 is 8547
| 3 | 231, 111 |
| 77, 37 |
∴ So the LCM of the given numbers is 3 x 77 x 37 = 8547
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 231,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,111) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(231,111) x common factors =3 x 1 = 3
LCM(231,111) = ( 231 × 111 ) / 3
LCM(231,111) = 25641 / 3
LCM(231,111) = 8547
∴ Least Common Multiple of 231,111 is 8547
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 231, 111
1. What is the LCM of 231, 111?
Answer: LCM of 231, 111 is 8547.
2. What are the Factors of 8547?
Answer: Factors of 8547 are . There are integers that are factors of 8547
3. How to Find the LCM of 231, 111 ?
Least Common Multiple of 231, 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(231, 111) = 3 x 7 x 11 x 37 = 8547.