Least Common Multiple of 296/105, 722/755, 739/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 296/105, 722/755, 739/864 quickly i.e. 78966584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 296/105, 722/755, 739/864 is 78966584.

LCM(296/105, 722/755, 739/864) = 78966584

LCM of 296/105, 722/755, 739/864

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 296/105,722/755,739/864

Given numbers are 296/105,722/755,739/864

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 296,722,739

Least Common Multiple of Numerators i.e. LCM of 296,722,739 is 78966584.

GCF of Denominators means GCF of 105,755,864 as per the given fractions.

GCF of 105,755,864 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 296,722,739

LCM of Fractions 296/105,722/755,739/864 is 78966584

2 296, 722, 739
148, 361, 739

∴ So the LCM of the given numbers is 2 x 148 x 361 x 739 = 78966584

Least Common Multiple of 296,722,739 with GCF Formula

Least Common Multiple of 296,722,739 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 296,722,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,722,739) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(296,722,739) x common factors =1 x 2 = 2

LCM(296,722,739) = ( 296 × 722 × 739 ) / 2

LCM(296,722,739) = 157933168 / 2

LCM(296,722,739) = 78966584


Lets's calculate GCF of 105,755,864

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78966584/1

Therefore the LCM of Fractions 296/105,722/755,739/864 is 78966584

Greatest Common Factor of 105,755,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,755,864 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 105,755,864 . The biggest common factor number is the GCF number.
So the greatest common factor 105,755,864 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 296/105, 722/755, 739/864

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 296/105, 722/755, 739/864?

Answer: LCM of Numerators as per given numbers 296/105, 722/755, 739/864 is

LCM of Numerators i.e. for 296,722,739 is 78966584

GCF of denominators i.e. for 105,755,864 is 1.

Thus, LCM of Fractions is 78966584.Finally, LCM of Fractions for 296/105, 722/755, 739/864 is 78966584.