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 36, 75, 54, 84 i.e. 18900 smallest integer divisible by all numbers.
Least common multiple (LCM) of 36, 75, 54, 84 is 18900.
LCM(36, 75, 54, 84) = 18900
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 36, 75, 54, 84 |
2 | 18, 75, 27, 42 |
3 | 9, 75, 27, 21 |
3 | 3, 25, 9, 7 |
1, 25, 3, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 25 x 3 x 7 = 18900
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 36,75,54,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,75,54,84) = 3
common factors(in case of two or more numbers have common factors) = 216
GCF(36,75,54,84) x common factors =3 x 216 = 648
LCM(36,75,54,84) = ( 36 × 75 × 54 × 84 ) / 648
LCM(36,75,54,84) = 12247200 / 648
LCM(36,75,54,84) = 18900
∴ Least Common Multiple of 36,75,54,84 is 18900
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 36, 75, 54, 84?
Answer: LCM of 36, 75, 54, 84 is 18900.
2. What are the Factors of 18900?
Answer: Factors of 18900 are . There are integers that are factors of 18900
3. How to Find the LCM of 36, 75, 54, 84 ?
Least Common Multiple of 36, 75, 54, 84.
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(36, 75, 54, 84) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 = 18900.