Least Common Multiple of 205, 123
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 205, 123 i.e. 615 smallest integer divisible by all numbers.
Least common multiple (LCM) of 205, 123 is 615.
LCM(205, 123) = 615
LCM of 205, 123
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 205, 123 by common division method
- Least Common Multiple of 205, 123 with GCF Formula
Least Common Multiple (LCM) of 205,123 is 615
| 41 | 205, 123 |
| 5, 3 |
∴ So the LCM of the given numbers is 41 x 5 x 3 = 615
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 205,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,123) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(205,123) x common factors =41 x 1 = 41
LCM(205,123) = ( 205 × 123 ) / 41
LCM(205,123) = 25215 / 41
LCM(205,123) = 615
∴ Least Common Multiple of 205,123 is 615
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 205, 123
1. What is the LCM of 205, 123?
Answer: LCM of 205, 123 is 615.
2. What are the Factors of 615?
Answer: Factors of 615 are . There are integers that are factors of 615
3. How to Find the LCM of 205, 123 ?
Least Common Multiple of 205, 123.
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(205, 123) = 3 x 5 x 41 = 615.