Least Common Multiple of 917, 1965
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 917, 1965 i.e. 13755 smallest integer divisible by all numbers.
Least common multiple (LCM) of 917, 1965 is 13755.
LCM(917, 1965) = 13755
LCM of 917, 1965
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 917, 1965 by common division method
- Least Common Multiple of 917, 1965 with GCF Formula
Least Common Multiple (LCM) of 917,1965 is 13755
| 131 | 917, 1965 |
| 7, 15 |
∴ So the LCM of the given numbers is 131 x 7 x 15 = 13755
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 917,1965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,1965) = 131
common factors(in case of two or more numbers have common factors) = 1
GCF(917,1965) x common factors =131 x 1 = 131
LCM(917,1965) = ( 917 × 1965 ) / 131
LCM(917,1965) = 1801905 / 131
LCM(917,1965) = 13755
∴ Least Common Multiple of 917,1965 is 13755
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Frequently Asked Questions on LCM of 917, 1965
1. What is the LCM of 917, 1965?
Answer: LCM of 917, 1965 is 13755.
2. What are the Factors of 13755?
Answer: Factors of 13755 are . There are integers that are factors of 13755
3. How to Find the LCM of 917, 1965 ?
Least Common Multiple of 917, 1965.
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(917, 1965) = 3 x 5 x 7 x 131 = 13755.