Least Common Multiple of 5588/378, 2154/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5588/378, 2154/896 quickly i.e. 6018276/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5588/378, 2154/896 is 6018276/14.

LCM(5588/378, 2154/896) = 6018276/14

LCM of 5588/378, 2154/896

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 5588/378,2154/896

Given numbers are 5588/378,2154/896

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 5588,2154

Least Common Multiple of Numerators i.e. LCM of 5588,2154 is 6018276.

GCF of Denominators means GCF of 378,896 as per the given fractions.

GCF of 378,896 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5588,2154

LCM of Fractions 5588/378,2154/896 is 6018276/14

2 5588, 2154
2794, 1077

∴ So the LCM of the given numbers is 2 x 2794 x 1077 = 6018276

Least Common Multiple of 5588,2154 with GCF Formula

Least Common Multiple of 5588,2154 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 5588,2154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5588,2154) = 2

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

GCF(5588,2154) x common factors =2 x 1 = 2

LCM(5588,2154) = ( 5588 × 2154 ) / 2

LCM(5588,2154) = 12036552 / 2

LCM(5588,2154) = 6018276


Lets's calculate GCF of 378,896

2 378, 896
7 189, 448
27, 64

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6018276/14

Therefore the LCM of Fractions 5588/378,2154/896 is 6018276/14

Greatest Common Factor of 378,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,896 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 378,896 . The biggest common factor number is the GCF number.
So the greatest common factor 378,896 is 14.


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 5588/378, 2154/896

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 5588/378, 2154/896?

Answer: LCM of Numerators as per given numbers 5588/378, 2154/896 is

LCM of Numerators i.e. for 5588,2154 is 6018276

GCF of denominators i.e. for 378,896 is 14.

Thus, LCM of Fractions is 6018276/14.Finally, LCM of Fractions for 5588/378, 2154/896 is 6018276/14.