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 684, 912, 180 i.e. 13680 smallest integer divisible by all numbers.
Least common multiple (LCM) of 684, 912, 180 is 13680.
LCM(684, 912, 180) = 13680
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 684, 912, 180 |
2 | 342, 456, 90 |
3 | 171, 228, 45 |
3 | 57, 76, 15 |
19 | 19, 76, 5 |
1, 4, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 19 x 1 x 4 x 5 = 13680
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 684,912,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,912,180) = 12
common factors(in case of two or more numbers have common factors) = 684
GCF(684,912,180) x common factors =12 x 684 = 8208
LCM(684,912,180) = ( 684 × 912 × 180 ) / 8208
LCM(684,912,180) = 112285440 / 8208
LCM(684,912,180) = 13680
∴ Least Common Multiple of 684,912,180 is 13680
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 684, 912, 180?
Answer: LCM of 684, 912, 180 is 13680.
2. What are the Factors of 13680?
Answer: Factors of 13680 are . There are integers that are factors of 13680
3. How to Find the LCM of 684, 912, 180 ?
Least Common Multiple of 684, 912, 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(684, 912, 180) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 = 13680.