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 274, 135, 540 i.e. 73980 smallest integer divisible by all numbers.
Least common multiple (LCM) of 274, 135, 540 is 73980.
LCM(274, 135, 540) = 73980
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 274, 135, 540 |
3 | 137, 135, 270 |
3 | 137, 45, 90 |
3 | 137, 15, 30 |
5 | 137, 5, 10 |
137, 1, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 137 x 1 x 2 = 73980
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 274,135,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,135,540) = 1
common factors(in case of two or more numbers have common factors) = 270
GCF(274,135,540) x common factors =1 x 270 = 270
LCM(274,135,540) = ( 274 × 135 × 540 ) / 270
LCM(274,135,540) = 19974600 / 270
LCM(274,135,540) = 73980
∴ Least Common Multiple of 274,135,540 is 73980
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 274, 135, 540?
Answer: LCM of 274, 135, 540 is 73980.
2. What are the Factors of 73980?
Answer: Factors of 73980 are . There are integers that are factors of 73980
3. How to Find the LCM of 274, 135, 540 ?
Least Common Multiple of 274, 135, 540.
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(274, 135, 540) = 2 x 2 x 3 x 3 x 3 x 5 x 137 = 73980.