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 2736, 2280 i.e. 13680 smallest integer divisible by all numbers.
Least common multiple (LCM) of 2736, 2280 is 13680.
LCM(2736, 2280) = 13680
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 2736, 2280 |
2 | 1368, 1140 |
2 | 684, 570 |
3 | 342, 285 |
19 | 114, 95 |
6, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 6 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 2736,2280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2736,2280) = 456
common factors(in case of two or more numbers have common factors) = 1
GCF(2736,2280) x common factors =456 x 1 = 456
LCM(2736,2280) = ( 2736 × 2280 ) / 456
LCM(2736,2280) = 6238080 / 456
LCM(2736,2280) = 13680
∴ Least Common Multiple of 2736,2280 is 13680
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2736, 2280?
Answer: LCM of 2736, 2280 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 2736, 2280 ?
Least Common Multiple of 2736, 2280.
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(2736, 2280) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 = 13680.