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 60, 75, 320 i.e. 4800 smallest integer divisible by all numbers.
Least common multiple (LCM) of 60, 75, 320 is 4800.
LCM(60, 75, 320) = 4800
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 60, 75, 320 |
2 | 30, 75, 160 |
3 | 15, 75, 80 |
5 | 5, 25, 80 |
1, 5, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 5 x 16 = 4800
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 60,75,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,75,320) = 5
common factors(in case of two or more numbers have common factors) = 60
GCF(60,75,320) x common factors =5 x 60 = 300
LCM(60,75,320) = ( 60 × 75 × 320 ) / 300
LCM(60,75,320) = 1440000 / 300
LCM(60,75,320) = 4800
∴ Least Common Multiple of 60,75,320 is 4800
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 60, 75, 320?
Answer: LCM of 60, 75, 320 is 4800.
2. What are the Factors of 4800?
Answer: Factors of 4800 are . There are integers that are factors of 4800
3. How to Find the LCM of 60, 75, 320 ?
Least Common Multiple of 60, 75, 320.
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(60, 75, 320) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 = 4800.