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 87, 54, 109 i.e. 170694 smallest integer divisible by all numbers.
Least common multiple (LCM) of 87, 54, 109 is 170694.
LCM(87, 54, 109) = 170694
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 87, 54, 109 |
29, 18, 109 |
∴ So the LCM of the given numbers is 3 x 29 x 18 x 109 = 170694
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 87,54,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,54,109) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,54,109) x common factors =1 x 3 = 3
LCM(87,54,109) = ( 87 × 54 × 109 ) / 3
LCM(87,54,109) = 512082 / 3
LCM(87,54,109) = 170694
∴ Least Common Multiple of 87,54,109 is 170694
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 87, 54, 109?
Answer: LCM of 87, 54, 109 is 170694.
2. What are the Factors of 170694?
Answer: Factors of 170694 are . There are integers that are factors of 170694
3. How to Find the LCM of 87, 54, 109 ?
Least Common Multiple of 87, 54, 109.
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(87, 54, 109) = 2 x 3 x 3 x 3 x 29 x 109 = 170694.