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 214, 214, 815 i.e. 174410 smallest integer divisible by all numbers.
Least common multiple (LCM) of 214, 214, 815 is 174410.
LCM(214, 214, 815) = 174410
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 214, 214, 815 |
107 | 107, 107, 815 |
1, 1, 815 |
∴ So the LCM of the given numbers is 2 x 107 x 1 x 1 x 815 = 174410
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 214,214,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,214,815) = 1
common factors(in case of two or more numbers have common factors) = 214
GCF(214,214,815) x common factors =1 x 214 = 214
LCM(214,214,815) = ( 214 × 214 × 815 ) / 214
LCM(214,214,815) = 37323740 / 214
LCM(214,214,815) = 174410
∴ Least Common Multiple of 214,214,815 is 174410
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 214, 214, 815?
Answer: LCM of 214, 214, 815 is 174410.
2. What are the Factors of 174410?
Answer: Factors of 174410 are . There are integers that are factors of 174410
3. How to Find the LCM of 214, 214, 815 ?
Least Common Multiple of 214, 214, 815.
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(214, 214, 815) = 2 x 5 x 107 x 163 = 174410.