Least Common Multiple of 480, 545, 989, 605, 974

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, 545, 989, 605, 974 i.e. 3049146972960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 480, 545, 989, 605, 974 is 3049146972960.

LCM(480, 545, 989, 605, 974) = 3049146972960

LCM of 480, 545, 989, 605, 974

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 480,545,989,605,974

Least Common Multiple (LCM) of 480,545,989,605,974 is 3049146972960

2 480, 545, 989, 605, 974
5 240, 545, 989, 605, 487
48, 109, 989, 121, 487

∴ So the LCM of the given numbers is 2 x 5 x 48 x 109 x 989 x 121 x 487 = 3049146972960

Least Common Multiple of 480,545,989,605,974 with GCF Formula

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 480,545,989,605,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,545,989,605,974) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(480,545,989,605,974) x common factors =1 x 50 = 50

LCM(480,545,989,605,974) = ( 480 × 545 × 989 × 605 × 974 ) / 50

LCM(480,545,989,605,974) = 152457348648000 / 50

LCM(480,545,989,605,974) = 3049146972960

∴ Least Common Multiple of 480,545,989,605,974 is 3049146972960

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 480, 545, 989, 605, 974

1. What is the LCM of 480, 545, 989, 605, 974?

Answer: LCM of 480, 545, 989, 605, 974 is 3049146972960.

2. What are the Factors of 3049146972960?

Answer: Factors of 3049146972960 are . There are integers that are factors of 3049146972960

3. How to Find the LCM of 480, 545, 989, 605, 974 ?

Least Common Multiple of 480, 545, 989, 605, 974.

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, 545, 989, 605, 974) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 11 x 23 x 43 x 109 x 487 = 3049146972960.