Least Common Multiple of 685/48, 328/36, 943/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 685/48, 328/36, 943/968 quickly i.e. 1291910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/48, 328/36, 943/968 is 1291910.

LCM(685/48, 328/36, 943/968) = 1291910

LCM of 685/48, 328/36, 943/968

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 685/48,328/36,943/968

Given numbers are 685/48,328/36,943/968

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 685,328,943

Least Common Multiple of Numerators i.e. LCM of 685,328,943 is 5167640.

GCF of Denominators means GCF of 48,36,968 as per the given fractions.

GCF of 48,36,968 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,328,943

LCM of Fractions 685/48,328/36,943/968 is 1291910

41 685, 328, 943
685, 8, 23

∴ So the LCM of the given numbers is 41 x 685 x 8 x 23 = 5167640

Least Common Multiple of 685,328,943 with GCF Formula

Least Common Multiple of 685,328,943 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 685,328,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,328,943) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(685,328,943) x common factors =1 x 41 = 41

LCM(685,328,943) = ( 685 × 328 × 943 ) / 41

LCM(685,328,943) = 211873240 / 41

LCM(685,328,943) = 5167640


Lets's calculate GCF of 48,36,968

2 48, 36, 968
2 24, 18, 484
12, 9, 242

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5167640/4

Therefore the LCM of Fractions 685/48,328/36,943/968 is 1291910

Greatest Common Factor of 48,36,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,36,968 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 48,36,968 . The biggest common factor number is the GCF number.
So the greatest common factor 48,36,968 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 685/48, 328/36, 943/968

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 685/48, 328/36, 943/968?

Answer: LCM of Numerators as per given numbers 685/48, 328/36, 943/968 is

LCM of Numerators i.e. for 685,328,943 is 5167640

GCF of denominators i.e. for 48,36,968 is 4.

Thus, LCM of Fractions is 1291910.Finally, LCM of Fractions for 685/48, 328/36, 943/968 is 1291910.