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 240, 987, 378 i.e. 710640 smallest integer divisible by all numbers.
Least common multiple (LCM) of 240, 987, 378 is 710640.
LCM(240, 987, 378) = 710640
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 240, 987, 378 |
3 | 120, 987, 189 |
7 | 40, 329, 63 |
40, 47, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 40 x 47 x 9 = 710640
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 240,987,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,987,378) = 3
common factors(in case of two or more numbers have common factors) = 42
GCF(240,987,378) x common factors =3 x 42 = 126
LCM(240,987,378) = ( 240 × 987 × 378 ) / 126
LCM(240,987,378) = 89540640 / 126
LCM(240,987,378) = 710640
∴ Least Common Multiple of 240,987,378 is 710640
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 240, 987, 378?
Answer: LCM of 240, 987, 378 is 710640.
2. What are the Factors of 710640?
Answer: Factors of 710640 are . There are integers that are factors of 710640
3. How to Find the LCM of 240, 987, 378 ?
Least Common Multiple of 240, 987, 378.
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(240, 987, 378) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 47 = 710640.