Least Common Multiple of 467, 968, 144, 628, 680

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 467, 968, 144, 628, 680 i.e. 108588371760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 467, 968, 144, 628, 680 is 108588371760.

LCM(467, 968, 144, 628, 680) = 108588371760

LCM of 467, 968, 144, 628, 680

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

LCM of:

Least Common Multiple of 467,968,144,628,680

Least Common Multiple (LCM) of 467,968,144,628,680 is 108588371760

2 467, 968, 144, 628, 680
2 467, 484, 72, 314, 340
2 467, 242, 36, 157, 170
467, 121, 18, 157, 85

∴ So the LCM of the given numbers is 2 x 2 x 2 x 467 x 121 x 18 x 157 x 85 = 108588371760

Least Common Multiple of 467,968,144,628,680 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 467,968,144,628,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,968,144,628,680) = 1

common factors(in case of two or more numbers have common factors) = 256

GCF(467,968,144,628,680) x common factors =1 x 256 = 256

LCM(467,968,144,628,680) = ( 467 × 968 × 144 × 628 × 680 ) / 256

LCM(467,968,144,628,680) = 27798623170560 / 256

LCM(467,968,144,628,680) = 108588371760

∴ Least Common Multiple of 467,968,144,628,680 is 108588371760

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 467, 968, 144, 628, 680

1. What is the LCM of 467, 968, 144, 628, 680?

Answer: LCM of 467, 968, 144, 628, 680 is 108588371760.

2. What are the Factors of 108588371760?

Answer: Factors of 108588371760 are . There are integers that are factors of 108588371760

3. How to Find the LCM of 467, 968, 144, 628, 680 ?

Least Common Multiple of 467, 968, 144, 628, 680.

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(467, 968, 144, 628, 680) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 11 x 17 x 157 x 467 = 108588371760.