Least Common Multiple of 46/772, 4643/5991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/772, 4643/5991 quickly i.e. 213578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/772, 4643/5991 is 213578.

LCM(46/772, 4643/5991) = 213578

LCM of 46/772, 4643/5991

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 46/772,4643/5991

Given numbers are 46/772,4643/5991

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 46,4643

Least Common Multiple of Numerators i.e. LCM of 46,4643 is 213578.

GCF of Denominators means GCF of 772,5991 as per the given fractions.

GCF of 772,5991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,4643

LCM of Fractions 46/772,4643/5991 is 213578

Given numbers has no common factors except 1. So, there LCM is their product i.e 213578

Least Common Multiple of 46,4643 with GCF Formula

Least Common Multiple of 46,4643 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 46,4643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,4643) = 1

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

GCF(46,4643) x common factors =1 x 1 = 1

LCM(46,4643) = ( 46 × 4643 ) / 1

LCM(46,4643) = 213578 / 1

LCM(46,4643) = 213578


Lets's calculate GCF of 772,5991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213578/1

Therefore the LCM of Fractions 46/772,4643/5991 is 213578

Greatest Common Factor of 772,5991 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,5991 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 5991

List of positive integer factors of 5991 that divides 5991 without a remainder.

1,3,1997,5991

Greatest Common Factor

We found the factors 772,5991 . The biggest common factor number is the GCF number.
So the greatest common factor 772,5991 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 46/772, 4643/5991

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 46/772, 4643/5991?

Answer: LCM of Numerators as per given numbers 46/772, 4643/5991 is

LCM of Numerators i.e. for 46,4643 is 213578

GCF of denominators i.e. for 772,5991 is 1.

Thus, LCM of Fractions is 213578.Finally, LCM of Fractions for 46/772, 4643/5991 is 213578.