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 724, 168, 543 i.e. 30408 smallest integer divisible by all numbers.
Least common multiple (LCM) of 724, 168, 543 is 30408.
LCM(724, 168, 543) = 30408
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 724, 168, 543 |
2 | 362, 84, 543 |
3 | 181, 42, 543 |
181 | 181, 14, 181 |
1, 14, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 181 x 1 x 14 x 1 = 30408
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 724,168,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,168,543) = 1
common factors(in case of two or more numbers have common factors) = 2172
GCF(724,168,543) x common factors =1 x 2172 = 2172
LCM(724,168,543) = ( 724 × 168 × 543 ) / 2172
LCM(724,168,543) = 66046176 / 2172
LCM(724,168,543) = 30408
∴ Least Common Multiple of 724,168,543 is 30408
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 724, 168, 543?
Answer: LCM of 724, 168, 543 is 30408.
2. What are the Factors of 30408?
Answer: Factors of 30408 are . There are integers that are factors of 30408
3. How to Find the LCM of 724, 168, 543 ?
Least Common Multiple of 724, 168, 543.
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(724, 168, 543) = 2 x 2 x 2 x 3 x 7 x 181 = 30408.