Least Common Multiple of 626/90, 512/1376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 626/90, 512/1376 quickly i.e. 80128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 626/90, 512/1376 is 80128.

LCM(626/90, 512/1376) = 80128

LCM of 626/90, 512/1376

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 626/90,512/1376

Given numbers are 626/90,512/1376

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 626,512

Least Common Multiple of Numerators i.e. LCM of 626,512 is 160256.

GCF of Denominators means GCF of 90,1376 as per the given fractions.

GCF of 90,1376 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 626,512

LCM of Fractions 626/90,512/1376 is 80128

2 626, 512
313, 256

∴ So the LCM of the given numbers is 2 x 313 x 256 = 160256

Least Common Multiple of 626,512 with GCF Formula

Least Common Multiple of 626,512 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 626,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,512) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(626,512) x common factors =2 x 1 = 2

LCM(626,512) = ( 626 × 512 ) / 2

LCM(626,512) = 320512 / 2

LCM(626,512) = 160256


Lets's calculate GCF of 90,1376

2 90, 1376
45, 688

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160256/2

Therefore the LCM of Fractions 626/90,512/1376 is 80128

Greatest Common Factor of 90,1376 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,1376 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 1376

List of positive integer factors of 1376 that divides 1376 without a remainder.

1,2,4,8,16,32,43,86,172,344,688,1376

Greatest Common Factor

We found the factors 90,1376 . The biggest common factor number is the GCF number.
So the greatest common factor 90,1376 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 626/90, 512/1376

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 626/90, 512/1376?

Answer: LCM of Numerators as per given numbers 626/90, 512/1376 is

LCM of Numerators i.e. for 626,512 is 160256

GCF of denominators i.e. for 90,1376 is 2.

Thus, LCM of Fractions is 80128.Finally, LCM of Fractions for 626/90, 512/1376 is 80128.