Least Common Multiple of 144, 582, 671, 275

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 144, 582, 671, 275 i.e. 234313200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 144, 582, 671, 275 is 234313200.

LCM(144, 582, 671, 275) = 234313200

LCM of 144, 582, 671, 275

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

LCM of:

Least Common Multiple of 144,582,671,275

Least Common Multiple (LCM) of 144,582,671,275 is 234313200

2 144, 582, 671, 275
3 72, 291, 671, 275
11 24, 97, 671, 275
24, 97, 61, 25

∴ So the LCM of the given numbers is 2 x 3 x 11 x 24 x 97 x 61 x 25 = 234313200

Least Common Multiple of 144,582,671,275 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 144,582,671,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,582,671,275) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(144,582,671,275) x common factors =1 x 66 = 66

LCM(144,582,671,275) = ( 144 × 582 × 671 × 275 ) / 66

LCM(144,582,671,275) = 15464671200 / 66

LCM(144,582,671,275) = 234313200

∴ Least Common Multiple of 144,582,671,275 is 234313200

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 144, 582, 671, 275

1. What is the LCM of 144, 582, 671, 275?

Answer: LCM of 144, 582, 671, 275 is 234313200.

2. What are the Factors of 234313200?

Answer: Factors of 234313200 are . There are integers that are factors of 234313200

3. How to Find the LCM of 144, 582, 671, 275 ?

Least Common Multiple of 144, 582, 671, 275.

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(144, 582, 671, 275) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 61 x 97 = 234313200.