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, 255, 140 i.e. 78540 smallest integer divisible by all numbers.
Least common multiple (LCM) of 231, 255, 140 is 78540.
LCM(231, 255, 140) = 78540
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 231, 255, 140 |
5 | 77, 85, 140 |
7 | 77, 17, 28 |
11, 17, 4 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 11 x 17 x 4 = 78540
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 231,255,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,255,140) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(231,255,140) x common factors =1 x 105 = 105
LCM(231,255,140) = ( 231 × 255 × 140 ) / 105
LCM(231,255,140) = 8246700 / 105
LCM(231,255,140) = 78540
∴ Least Common Multiple of 231,255,140 is 78540
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 231, 255, 140?
Answer: LCM of 231, 255, 140 is 78540.
2. What are the Factors of 78540?
Answer: Factors of 78540 are . There are integers that are factors of 78540
3. How to Find the LCM of 231, 255, 140 ?
Least Common Multiple of 231, 255, 140.
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, 255, 140) = 2 x 2 x 3 x 5 x 7 x 11 x 17 = 78540.