Least Common Multiple of 5777/175, 7611/5515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5777/175, 7611/5515 quickly i.e. 43968747/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5777/175, 7611/5515 is 43968747/5.

LCM(5777/175, 7611/5515) = 43968747/5

LCM of 5777/175, 7611/5515

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 5777/175,7611/5515

Given numbers are 5777/175,7611/5515

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 5777,7611

Least Common Multiple of Numerators i.e. LCM of 5777,7611 is 43968747.

GCF of Denominators means GCF of 175,5515 as per the given fractions.

GCF of 175,5515 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5777,7611

LCM of Fractions 5777/175,7611/5515 is 43968747/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 43968747

Least Common Multiple of 5777,7611 with GCF Formula

Least Common Multiple of 5777,7611 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 5777,7611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5777,7611) = 1

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

GCF(5777,7611) x common factors =1 x 1 = 1

LCM(5777,7611) = ( 5777 × 7611 ) / 1

LCM(5777,7611) = 43968747 / 1

LCM(5777,7611) = 43968747


Lets's calculate GCF of 175,5515

5 175, 5515
35, 1103

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43968747/5

Therefore the LCM of Fractions 5777/175,7611/5515 is 43968747/5

Greatest Common Factor of 175,5515 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,5515 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 5515

List of positive integer factors of 5515 that divides 5515 without a remainder.

1,5,1103,5515

Greatest Common Factor

We found the factors 175,5515 . The biggest common factor number is the GCF number.
So the greatest common factor 175,5515 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5777/175, 7611/5515

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 5777/175, 7611/5515?

Answer: LCM of Numerators as per given numbers 5777/175, 7611/5515 is

LCM of Numerators i.e. for 5777,7611 is 43968747

GCF of denominators i.e. for 175,5515 is 5.

Thus, LCM of Fractions is 43968747/5.Finally, LCM of Fractions for 5777/175, 7611/5515 is 43968747/5.