Least Common Multiple of 815, 978, 53
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 815, 978, 53 i.e. 259170 smallest integer divisible by all numbers.
Least common multiple (LCM) of 815, 978, 53 is 259170.
LCM(815, 978, 53) = 259170
LCM of 815, 978, 53
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 815, 978, 53 by common division method
- Least Common Multiple of 815, 978, 53 with GCF Formula
Least Common Multiple (LCM) of 815,978,53 is 259170
| 163 | 815, 978, 53 |
| 5, 6, 53 |
∴ So the LCM of the given numbers is 163 x 5 x 6 x 53 = 259170
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 815,978,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,978,53) = 1
common factors(in case of two or more numbers have common factors) = 163
GCF(815,978,53) x common factors =1 x 163 = 163
LCM(815,978,53) = ( 815 × 978 × 53 ) / 163
LCM(815,978,53) = 42244710 / 163
LCM(815,978,53) = 259170
∴ Least Common Multiple of 815,978,53 is 259170
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Frequently Asked Questions on LCM of 815, 978, 53
1. What is the LCM of 815, 978, 53?
Answer: LCM of 815, 978, 53 is 259170.
2. What are the Factors of 259170?
Answer: Factors of 259170 are . There are integers that are factors of 259170
3. How to Find the LCM of 815, 978, 53 ?
Least Common Multiple of 815, 978, 53.
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(815, 978, 53) = 2 x 3 x 5 x 53 x 163 = 259170.