Least Common Multiple of 4991/765, 3627/7747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4991/765, 3627/7747 quickly i.e. 583947 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4991/765, 3627/7747 is 583947.

LCM(4991/765, 3627/7747) = 583947

LCM of 4991/765, 3627/7747

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 4991/765,3627/7747

Given numbers are 4991/765,3627/7747

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 4991,3627

Least Common Multiple of Numerators i.e. LCM of 4991,3627 is 583947.

GCF of Denominators means GCF of 765,7747 as per the given fractions.

GCF of 765,7747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4991,3627

LCM of Fractions 4991/765,3627/7747 is 583947

31 4991, 3627
161, 117

∴ So the LCM of the given numbers is 31 x 161 x 117 = 583947

Least Common Multiple of 4991,3627 with GCF Formula

Least Common Multiple of 4991,3627 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 4991,3627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4991,3627) = 31

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

GCF(4991,3627) x common factors =31 x 1 = 31

LCM(4991,3627) = ( 4991 × 3627 ) / 31

LCM(4991,3627) = 18102357 / 31

LCM(4991,3627) = 583947


Lets's calculate GCF of 765,7747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 583947/1

Therefore the LCM of Fractions 4991/765,3627/7747 is 583947

Greatest Common Factor of 765,7747 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,7747 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 7747

List of positive integer factors of 7747 that divides 7747 without a remainder.

1,61,127,7747

Greatest Common Factor

We found the factors 765,7747 . The biggest common factor number is the GCF number.
So the greatest common factor 765,7747 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 4991/765, 3627/7747

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 4991/765, 3627/7747?

Answer: LCM of Numerators as per given numbers 4991/765, 3627/7747 is

LCM of Numerators i.e. for 4991,3627 is 583947

GCF of denominators i.e. for 765,7747 is 1.

Thus, LCM of Fractions is 583947.Finally, LCM of Fractions for 4991/765, 3627/7747 is 583947.