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 219, 360, 54 i.e. 78840 smallest integer divisible by all numbers.
Least common multiple (LCM) of 219, 360, 54 is 78840.
LCM(219, 360, 54) = 78840
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 219, 360, 54 |
3 | 219, 180, 27 |
3 | 73, 60, 9 |
73, 20, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 73 x 20 x 3 = 78840
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 219,360,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,360,54) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(219,360,54) x common factors =3 x 18 = 54
LCM(219,360,54) = ( 219 × 360 × 54 ) / 54
LCM(219,360,54) = 4257360 / 54
LCM(219,360,54) = 78840
∴ Least Common Multiple of 219,360,54 is 78840
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 219, 360, 54?
Answer: LCM of 219, 360, 54 is 78840.
2. What are the Factors of 78840?
Answer: Factors of 78840 are . There are integers that are factors of 78840
3. How to Find the LCM of 219, 360, 54 ?
Least Common Multiple of 219, 360, 54.
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(219, 360, 54) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 73 = 78840.