Least Common Multiple of 5560/295, 2956/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5560/295, 2956/144 quickly i.e. 4108840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5560/295, 2956/144 is 4108840.

LCM(5560/295, 2956/144) = 4108840

LCM of 5560/295, 2956/144

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 5560/295,2956/144

Given numbers are 5560/295,2956/144

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 5560,2956

Least Common Multiple of Numerators i.e. LCM of 5560,2956 is 4108840.

GCF of Denominators means GCF of 295,144 as per the given fractions.

GCF of 295,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5560,2956

LCM of Fractions 5560/295,2956/144 is 4108840

2 5560, 2956
2 2780, 1478
1390, 739

∴ So the LCM of the given numbers is 2 x 2 x 1390 x 739 = 4108840

Least Common Multiple of 5560,2956 with GCF Formula

Least Common Multiple of 5560,2956 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 5560,2956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5560,2956) = 4

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

GCF(5560,2956) x common factors =4 x 1 = 4

LCM(5560,2956) = ( 5560 × 2956 ) / 4

LCM(5560,2956) = 16435360 / 4

LCM(5560,2956) = 4108840


Lets's calculate GCF of 295,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4108840/1

Therefore the LCM of Fractions 5560/295,2956/144 is 4108840

Greatest Common Factor of 295,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,144 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 295,144 . The biggest common factor number is the GCF number.
So the greatest common factor 295,144 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5560/295, 2956/144

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 5560/295, 2956/144?

Answer: LCM of Numerators as per given numbers 5560/295, 2956/144 is

LCM of Numerators i.e. for 5560,2956 is 4108840

GCF of denominators i.e. for 295,144 is 1.

Thus, LCM of Fractions is 4108840.Finally, LCM of Fractions for 5560/295, 2956/144 is 4108840.