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 36, 68, 141 i.e. 28764 smallest integer divisible by all numbers.
Least common multiple (LCM) of 36, 68, 141 is 28764.
LCM(36, 68, 141) = 28764
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 36, 68, 141 |
2 | 18, 34, 141 |
3 | 9, 17, 141 |
3, 17, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 47 = 28764
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 36,68,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,68,141) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(36,68,141) x common factors =1 x 12 = 12
LCM(36,68,141) = ( 36 × 68 × 141 ) / 12
LCM(36,68,141) = 345168 / 12
LCM(36,68,141) = 28764
∴ Least Common Multiple of 36,68,141 is 28764
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 36, 68, 141?
Answer: LCM of 36, 68, 141 is 28764.
2. What are the Factors of 28764?
Answer: Factors of 28764 are . There are integers that are factors of 28764
3. How to Find the LCM of 36, 68, 141 ?
Least Common Multiple of 36, 68, 141.
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(36, 68, 141) = 2 x 2 x 3 x 3 x 17 x 47 = 28764.