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 544, 506, 180 i.e. 6193440 smallest integer divisible by all numbers.
Least common multiple (LCM) of 544, 506, 180 is 6193440.
LCM(544, 506, 180) = 6193440
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 544, 506, 180 |
2 | 272, 253, 90 |
136, 253, 45 |
∴ So the LCM of the given numbers is 2 x 2 x 136 x 253 x 45 = 6193440
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 544,506,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,506,180) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(544,506,180) x common factors =2 x 4 = 8
LCM(544,506,180) = ( 544 × 506 × 180 ) / 8
LCM(544,506,180) = 49547520 / 8
LCM(544,506,180) = 6193440
∴ Least Common Multiple of 544,506,180 is 6193440
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 544, 506, 180?
Answer: LCM of 544, 506, 180 is 6193440.
2. What are the Factors of 6193440?
Answer: Factors of 6193440 are . There are integers that are factors of 6193440
3. How to Find the LCM of 544, 506, 180 ?
Least Common Multiple of 544, 506, 180.
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(544, 506, 180) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 17 x 23 = 6193440.