Least Common Multiple of 5600/750, 2896/7756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5600/750, 2896/7756 quickly i.e. 506800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5600/750, 2896/7756 is 506800.

LCM(5600/750, 2896/7756) = 506800

LCM of 5600/750, 2896/7756

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 5600/750,2896/7756

Given numbers are 5600/750,2896/7756

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 5600,2896

Least Common Multiple of Numerators i.e. LCM of 5600,2896 is 1013600.

GCF of Denominators means GCF of 750,7756 as per the given fractions.

GCF of 750,7756 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5600,2896

LCM of Fractions 5600/750,2896/7756 is 506800

2 5600, 2896
2 2800, 1448
2 1400, 724
2 700, 362
350, 181

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 350 x 181 = 1013600

Least Common Multiple of 5600,2896 with GCF Formula

Least Common Multiple of 5600,2896 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 5600,2896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5600,2896) = 16

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

GCF(5600,2896) x common factors =16 x 1 = 16

LCM(5600,2896) = ( 5600 × 2896 ) / 16

LCM(5600,2896) = 16217600 / 16

LCM(5600,2896) = 1013600


Lets's calculate GCF of 750,7756

2 750, 7756
375, 3878

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1013600/2

Therefore the LCM of Fractions 5600/750,2896/7756 is 506800

Greatest Common Factor of 750,7756 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,7756 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 7756

List of positive integer factors of 7756 that divides 7756 without a remainder.

1,2,4,7,14,28,277,554,1108,1939,3878,7756

Greatest Common Factor

We found the factors 750,7756 . The biggest common factor number is the GCF number.
So the greatest common factor 750,7756 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 5600/750, 2896/7756

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 5600/750, 2896/7756?

Answer: LCM of Numerators as per given numbers 5600/750, 2896/7756 is

LCM of Numerators i.e. for 5600,2896 is 1013600

GCF of denominators i.e. for 750,7756 is 2.

Thus, LCM of Fractions is 506800.Finally, LCM of Fractions for 5600/750, 2896/7756 is 506800.