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 89, 314, 314 i.e. 27946 smallest integer divisible by all numbers.
Least common multiple (LCM) of 89, 314, 314 is 27946.
LCM(89, 314, 314) = 27946
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 89, 314, 314 |
157 | 89, 157, 157 |
89, 1, 1 |
∴ So the LCM of the given numbers is 2 x 157 x 89 x 1 x 1 = 27946
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 89,314,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,314,314) = 1
common factors(in case of two or more numbers have common factors) = 314
GCF(89,314,314) x common factors =1 x 314 = 314
LCM(89,314,314) = ( 89 × 314 × 314 ) / 314
LCM(89,314,314) = 8775044 / 314
LCM(89,314,314) = 27946
∴ Least Common Multiple of 89,314,314 is 27946
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 89, 314, 314?
Answer: LCM of 89, 314, 314 is 27946.
2. What are the Factors of 27946?
Answer: Factors of 27946 are . There are integers that are factors of 27946
3. How to Find the LCM of 89, 314, 314 ?
Least Common Multiple of 89, 314, 314.
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(89, 314, 314) = 2 x 89 x 157 = 27946.