Least Common Multiple of 5377/569, 8684/7730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5377/569, 8684/7730 quickly i.e. 46693868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5377/569, 8684/7730 is 46693868.

LCM(5377/569, 8684/7730) = 46693868

LCM of 5377/569, 8684/7730

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 5377/569,8684/7730

Given numbers are 5377/569,8684/7730

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 5377,8684

Least Common Multiple of Numerators i.e. LCM of 5377,8684 is 46693868.

GCF of Denominators means GCF of 569,7730 as per the given fractions.

GCF of 569,7730 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5377,8684

LCM of Fractions 5377/569,8684/7730 is 46693868

Given numbers has no common factors except 1. So, there LCM is their product i.e 46693868

Least Common Multiple of 5377,8684 with GCF Formula

Least Common Multiple of 5377,8684 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 5377,8684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5377,8684) = 1

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

GCF(5377,8684) x common factors =1 x 1 = 1

LCM(5377,8684) = ( 5377 × 8684 ) / 1

LCM(5377,8684) = 46693868 / 1

LCM(5377,8684) = 46693868


Lets's calculate GCF of 569,7730

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46693868/1

Therefore the LCM of Fractions 5377/569,8684/7730 is 46693868

Greatest Common Factor of 569,7730 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,7730 By Matching Biggest Common Factor Method

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 7730

List of positive integer factors of 7730 that divides 7730 without a remainder.

1,2,5,10,773,1546,3865,7730

Greatest Common Factor

We found the factors 569,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 569,7730 is 1.


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 5377/569, 8684/7730

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 5377/569, 8684/7730?

Answer: LCM of Numerators as per given numbers 5377/569, 8684/7730 is

LCM of Numerators i.e. for 5377,8684 is 46693868

GCF of denominators i.e. for 569,7730 is 1.

Thus, LCM of Fractions is 46693868.Finally, LCM of Fractions for 5377/569, 8684/7730 is 46693868.