Least Common Multiple of 314, 512, 128, 505, 682

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 314, 512, 128, 505, 682 i.e. 13842526720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 314, 512, 128, 505, 682 is 13842526720.

LCM(314, 512, 128, 505, 682) = 13842526720

LCM of 314, 512, 128, 505, 682

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

LCM of:

Least Common Multiple of 314,512,128,505,682

Least Common Multiple (LCM) of 314,512,128,505,682 is 13842526720

2 314, 512, 128, 505, 682
2 157, 256, 64, 505, 341
2 157, 128, 32, 505, 341
2 157, 64, 16, 505, 341
2 157, 32, 8, 505, 341
2 157, 16, 4, 505, 341
2 157, 8, 2, 505, 341
157, 4, 1, 505, 341

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 157 x 4 x 1 x 505 x 341 = 13842526720

Least Common Multiple of 314,512,128,505,682 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 314,512,128,505,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,512,128,505,682) = 1

common factors(in case of two or more numbers have common factors) = 512

GCF(314,512,128,505,682) x common factors =1 x 512 = 512

LCM(314,512,128,505,682) = ( 314 × 512 × 128 × 505 × 682 ) / 512

LCM(314,512,128,505,682) = 7087373680640 / 512

LCM(314,512,128,505,682) = 13842526720

∴ Least Common Multiple of 314,512,128,505,682 is 13842526720

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 314, 512, 128, 505, 682

1. What is the LCM of 314, 512, 128, 505, 682?

Answer: LCM of 314, 512, 128, 505, 682 is 13842526720.

2. What are the Factors of 13842526720?

Answer: Factors of 13842526720 are . There are integers that are factors of 13842526720

3. How to Find the LCM of 314, 512, 128, 505, 682 ?

Least Common Multiple of 314, 512, 128, 505, 682.

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(314, 512, 128, 505, 682) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 31 x 101 x 157 = 13842526720.