Least Common Multiple of 7577/57, 5777/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7577/57, 5777/207 quickly i.e. 43772329/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7577/57, 5777/207 is 43772329/3.

LCM(7577/57, 5777/207) = 43772329/3

LCM of 7577/57, 5777/207

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 7577/57,5777/207

Given numbers are 7577/57,5777/207

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 7577,5777

Least Common Multiple of Numerators i.e. LCM of 7577,5777 is 43772329.

GCF of Denominators means GCF of 57,207 as per the given fractions.

GCF of 57,207 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7577,5777

LCM of Fractions 7577/57,5777/207 is 43772329/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 43772329

Least Common Multiple of 7577,5777 with GCF Formula

Least Common Multiple of 7577,5777 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 7577,5777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7577,5777) = 1

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

GCF(7577,5777) x common factors =1 x 1 = 1

LCM(7577,5777) = ( 7577 × 5777 ) / 1

LCM(7577,5777) = 43772329 / 1

LCM(7577,5777) = 43772329


Lets's calculate GCF of 57,207

3 57, 207
19, 69

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43772329/3

Therefore the LCM of Fractions 7577/57,5777/207 is 43772329/3

Greatest Common Factor of 57,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,207 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 57,207 . The biggest common factor number is the GCF number.
So the greatest common factor 57,207 is 3.


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 7577/57, 5777/207

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 7577/57, 5777/207?

Answer: LCM of Numerators as per given numbers 7577/57, 5777/207 is

LCM of Numerators i.e. for 7577,5777 is 43772329

GCF of denominators i.e. for 57,207 is 3.

Thus, LCM of Fractions is 43772329/3.Finally, LCM of Fractions for 7577/57, 5777/207 is 43772329/3.