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, 7380 i.e. 7380 smallest integer divisible by all numbers.
Least common multiple (LCM) of 205, 7380 is 7380.
LCM(205, 7380) = 7380
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
5 | 205, 7380 |
41 | 41, 1476 |
1, 36 |
∴ So the LCM of the given numbers is 5 x 41 x 1 x 36 = 7380
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 205,7380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,7380) = 205
common factors(in case of two or more numbers have common factors) = 1
GCF(205,7380) x common factors =205 x 1 = 205
LCM(205,7380) = ( 205 × 7380 ) / 205
LCM(205,7380) = 1512900 / 205
LCM(205,7380) = 7380
∴ Least Common Multiple of 205,7380 is 7380
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 205, 7380?
Answer: LCM of 205, 7380 is 7380.
2. What are the Factors of 7380?
Answer: Factors of 7380 are . There are integers that are factors of 7380
3. How to Find the LCM of 205, 7380 ?
Least Common Multiple of 205, 7380.
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, 7380) = 2 x 2 x 3 x 3 x 5 x 41 = 7380.