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 480, 745, 480 i.e. 71520 smallest integer divisible by all numbers.
Least common multiple (LCM) of 480, 745, 480 is 71520.
LCM(480, 745, 480) = 71520
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 480, 745, 480 |
2 | 240, 745, 240 |
2 | 120, 745, 120 |
2 | 60, 745, 60 |
2 | 30, 745, 30 |
3 | 15, 745, 15 |
5 | 5, 745, 5 |
1, 149, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 1 x 149 x 1 = 71520
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 480,745,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,745,480) = 5
common factors(in case of two or more numbers have common factors) = 480
GCF(480,745,480) x common factors =5 x 480 = 2400
LCM(480,745,480) = ( 480 × 745 × 480 ) / 2400
LCM(480,745,480) = 171648000 / 2400
LCM(480,745,480) = 71520
∴ Least Common Multiple of 480,745,480 is 71520
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 480, 745, 480?
Answer: LCM of 480, 745, 480 is 71520.
2. What are the Factors of 71520?
Answer: Factors of 71520 are . There are integers that are factors of 71520
3. How to Find the LCM of 480, 745, 480 ?
Least Common Multiple of 480, 745, 480.
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(480, 745, 480) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 149 = 71520.