Least Common Multiple of 15, 65, 351
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 15, 65, 351 i.e. 1755 smallest integer divisible by all numbers.
Least common multiple (LCM) of 15, 65, 351 is 1755.
LCM(15, 65, 351) = 1755
LCM of 15, 65, 351
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 15, 65, 351 by common division method
- Least Common Multiple of 15, 65, 351 with GCF Formula
Least Common Multiple (LCM) of 15,65,351 is 1755
| 3 | 15, 65, 351 |
| 5 | 5, 65, 117 |
| 13 | 1, 13, 117 |
| 1, 1, 9 |
∴ So the LCM of the given numbers is 3 x 5 x 13 x 1 x 1 x 9 = 1755
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 15,65,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,65,351) = 1
common factors(in case of two or more numbers have common factors) = 195
GCF(15,65,351) x common factors =1 x 195 = 195
LCM(15,65,351) = ( 15 × 65 × 351 ) / 195
LCM(15,65,351) = 342225 / 195
LCM(15,65,351) = 1755
∴ Least Common Multiple of 15,65,351 is 1755
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 15, 65, 351
1. What is the LCM of 15, 65, 351?
Answer: LCM of 15, 65, 351 is 1755.
2. What are the Factors of 1755?
Answer: Factors of 1755 are . There are integers that are factors of 1755
3. How to Find the LCM of 15, 65, 351 ?
Least Common Multiple of 15, 65, 351.
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(15, 65, 351) = 3 x 3 x 3 x 5 x 13 = 1755.