Least Common Multiple of 48/689, 3744/4679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/689, 3744/4679 quickly i.e. 3744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/689, 3744/4679 is 3744.

LCM(48/689, 3744/4679) = 3744

LCM of 48/689, 3744/4679

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 48/689,3744/4679

Given numbers are 48/689,3744/4679

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 48,3744

Least Common Multiple of Numerators i.e. LCM of 48,3744 is 3744.

GCF of Denominators means GCF of 689,4679 as per the given fractions.

GCF of 689,4679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,3744

LCM of Fractions 48/689,3744/4679 is 3744

2 48, 3744
2 24, 1872
2 12, 936
2 6, 468
3 3, 234
1, 78

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 78 = 3744

Least Common Multiple of 48,3744 with GCF Formula

Least Common Multiple of 48,3744 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 48,3744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,3744) = 48

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

GCF(48,3744) x common factors =48 x 1 = 48

LCM(48,3744) = ( 48 × 3744 ) / 48

LCM(48,3744) = 179712 / 48

LCM(48,3744) = 3744


Lets's calculate GCF of 689,4679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3744/1

Therefore the LCM of Fractions 48/689,3744/4679 is 3744

Greatest Common Factor of 689,4679 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,4679 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 4679

List of positive integer factors of 4679 that divides 4679 without a remainder.

1,4679

Greatest Common Factor

We found the factors 689,4679 . The biggest common factor number is the GCF number.
So the greatest common factor 689,4679 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 48/689, 3744/4679

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 48/689, 3744/4679?

Answer: LCM of Numerators as per given numbers 48/689, 3744/4679 is

LCM of Numerators i.e. for 48,3744 is 3744

GCF of denominators i.e. for 689,4679 is 1.

Thus, LCM of Fractions is 3744.Finally, LCM of Fractions for 48/689, 3744/4679 is 3744.