Least Common Multiple of 634/107, 628/127, 380/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 634/107, 628/127, 380/398 quickly i.e. 18912220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 634/107, 628/127, 380/398 is 18912220.

LCM(634/107, 628/127, 380/398) = 18912220

LCM of 634/107, 628/127, 380/398

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 634/107,628/127,380/398

Given numbers are 634/107,628/127,380/398

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 634,628,380

Least Common Multiple of Numerators i.e. LCM of 634,628,380 is 18912220.

GCF of Denominators means GCF of 107,127,398 as per the given fractions.

GCF of 107,127,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 634,628,380

LCM of Fractions 634/107,628/127,380/398 is 18912220

2 634, 628, 380
2 317, 314, 190
317, 157, 95

∴ So the LCM of the given numbers is 2 x 2 x 317 x 157 x 95 = 18912220

Least Common Multiple of 634,628,380 with GCF Formula

Least Common Multiple of 634,628,380 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 634,628,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,628,380) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(634,628,380) x common factors =2 x 4 = 8

LCM(634,628,380) = ( 634 × 628 × 380 ) / 8

LCM(634,628,380) = 151297760 / 8

LCM(634,628,380) = 18912220


Lets's calculate GCF of 107,127,398

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18912220/1

Therefore the LCM of Fractions 634/107,628/127,380/398 is 18912220

Greatest Common Factor of 107,127,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,127,398 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 107,127,398 . The biggest common factor number is the GCF number.
So the greatest common factor 107,127,398 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 634/107, 628/127, 380/398

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 634/107, 628/127, 380/398?

Answer: LCM of Numerators as per given numbers 634/107, 628/127, 380/398 is

LCM of Numerators i.e. for 634,628,380 is 18912220

GCF of denominators i.e. for 107,127,398 is 1.

Thus, LCM of Fractions is 18912220.Finally, LCM of Fractions for 634/107, 628/127, 380/398 is 18912220.