Least Common Multiple of 116/468, 691/230, 296/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 116/468, 691/230, 296/610 quickly i.e. 2965772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 116/468, 691/230, 296/610 is 2965772.

LCM(116/468, 691/230, 296/610) = 2965772

LCM of 116/468, 691/230, 296/610

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 116/468,691/230,296/610

Given numbers are 116/468,691/230,296/610

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 116,691,296

Least Common Multiple of Numerators i.e. LCM of 116,691,296 is 5931544.

GCF of Denominators means GCF of 468,230,610 as per the given fractions.

GCF of 468,230,610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 116,691,296

LCM of Fractions 116/468,691/230,296/610 is 2965772

2 116, 691, 296
2 58, 691, 148
29, 691, 74

∴ So the LCM of the given numbers is 2 x 2 x 29 x 691 x 74 = 5931544

Least Common Multiple of 116,691,296 with GCF Formula

Least Common Multiple of 116,691,296 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 116,691,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,691,296) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(116,691,296) x common factors =1 x 4 = 4

LCM(116,691,296) = ( 116 × 691 × 296 ) / 4

LCM(116,691,296) = 23726176 / 4

LCM(116,691,296) = 5931544


Lets's calculate GCF of 468,230,610

2 468, 230, 610
234, 115, 305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5931544/2

Therefore the LCM of Fractions 116/468,691/230,296/610 is 2965772

Greatest Common Factor of 468,230,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,230,610 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 468,230,610 . The biggest common factor number is the GCF number.
So the greatest common factor 468,230,610 is 2.


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 116/468, 691/230, 296/610

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 116/468, 691/230, 296/610?

Answer: LCM of Numerators as per given numbers 116/468, 691/230, 296/610 is

LCM of Numerators i.e. for 116,691,296 is 5931544

GCF of denominators i.e. for 468,230,610 is 2.

Thus, LCM of Fractions is 2965772.Finally, LCM of Fractions for 116/468, 691/230, 296/610 is 2965772.