Least Common Multiple of 1276/250, 7924/3800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1276/250, 7924/3800 quickly i.e. 2527756/50 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1276/250, 7924/3800 is 2527756/50.

LCM(1276/250, 7924/3800) = 2527756/50

LCM of 1276/250, 7924/3800

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 1276/250,7924/3800

Given numbers are 1276/250,7924/3800

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 1276,7924

Least Common Multiple of Numerators i.e. LCM of 1276,7924 is 2527756.

GCF of Denominators means GCF of 250,3800 as per the given fractions.

GCF of 250,3800 is 50 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1276,7924

LCM of Fractions 1276/250,7924/3800 is 2527756/50

2 1276, 7924
2 638, 3962
319, 1981

∴ So the LCM of the given numbers is 2 x 2 x 319 x 1981 = 2527756

Least Common Multiple of 1276,7924 with GCF Formula

Least Common Multiple of 1276,7924 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 1276,7924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1276,7924) = 4

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

GCF(1276,7924) x common factors =4 x 1 = 4

LCM(1276,7924) = ( 1276 × 7924 ) / 4

LCM(1276,7924) = 10111024 / 4

LCM(1276,7924) = 2527756


Lets's calculate GCF of 250,3800

2 250, 3800
5 125, 1900
5 25, 380
5, 76

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2527756/50

Therefore the LCM of Fractions 1276/250,7924/3800 is 2527756/50

Greatest Common Factor of 250,3800 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,3800 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 3800

List of positive integer factors of 3800 that divides 3800 without a remainder.

1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800

Greatest Common Factor

We found the factors 250,3800 . The biggest common factor number is the GCF number.
So the greatest common factor 250,3800 is 50.


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 1276/250, 7924/3800

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 1276/250, 7924/3800?

Answer: LCM of Numerators as per given numbers 1276/250, 7924/3800 is

LCM of Numerators i.e. for 1276,7924 is 2527756

GCF of denominators i.e. for 250,3800 is 50.

Thus, LCM of Fractions is 2527756/50.Finally, LCM of Fractions for 1276/250, 7924/3800 is 2527756/50.