Least Common Multiple of 345, 3105
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 345, 3105 i.e. 3105 smallest integer divisible by all numbers.
Least common multiple (LCM) of 345, 3105 is 3105.
LCM(345, 3105) = 3105
LCM of 345, 3105
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 345, 3105 by common division method
- Least Common Multiple of 345, 3105 with GCF Formula
Least Common Multiple (LCM) of 345,3105 is 3105
| 3 | 345, 3105 |
| 5 | 115, 1035 |
| 23 | 23, 207 |
| 1, 9 |
∴ So the LCM of the given numbers is 3 x 5 x 23 x 1 x 9 = 3105
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 345,3105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,3105) = 345
common factors(in case of two or more numbers have common factors) = 1
GCF(345,3105) x common factors =345 x 1 = 345
LCM(345,3105) = ( 345 × 3105 ) / 345
LCM(345,3105) = 1071225 / 345
LCM(345,3105) = 3105
∴ Least Common Multiple of 345,3105 is 3105
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Frequently Asked Questions on LCM of 345, 3105
1. What is the LCM of 345, 3105?
Answer: LCM of 345, 3105 is 3105.
2. What are the Factors of 3105?
Answer: Factors of 3105 are . There are integers that are factors of 3105
3. How to Find the LCM of 345, 3105 ?
Least Common Multiple of 345, 3105.
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(345, 3105) = 3 x 3 x 3 x 5 x 23 = 3105.