Least Common Multiple of 832/254, 293/760, 314/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 832/254, 293/760, 314/146 quickly i.e. 19136416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 832/254, 293/760, 314/146 is 19136416.

LCM(832/254, 293/760, 314/146) = 19136416

LCM of 832/254, 293/760, 314/146

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 832/254,293/760,314/146

Given numbers are 832/254,293/760,314/146

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 832,293,314

Least Common Multiple of Numerators i.e. LCM of 832,293,314 is 38272832.

GCF of Denominators means GCF of 254,760,146 as per the given fractions.

GCF of 254,760,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 832,293,314

LCM of Fractions 832/254,293/760,314/146 is 19136416

2 832, 293, 314
416, 293, 157

∴ So the LCM of the given numbers is 2 x 416 x 293 x 157 = 38272832

Least Common Multiple of 832,293,314 with GCF Formula

Least Common Multiple of 832,293,314 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 832,293,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,293,314) = 1

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

GCF(832,293,314) x common factors =1 x 2 = 2

LCM(832,293,314) = ( 832 × 293 × 314 ) / 2

LCM(832,293,314) = 76545664 / 2

LCM(832,293,314) = 38272832


Lets's calculate GCF of 254,760,146

2 254, 760, 146
127, 380, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38272832/2

Therefore the LCM of Fractions 832/254,293/760,314/146 is 19136416

Greatest Common Factor of 254,760,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,760,146 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 254,760,146 . The biggest common factor number is the GCF number.
So the greatest common factor 254,760,146 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 832/254, 293/760, 314/146

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 832/254, 293/760, 314/146?

Answer: LCM of Numerators as per given numbers 832/254, 293/760, 314/146 is

LCM of Numerators i.e. for 832,293,314 is 38272832

GCF of denominators i.e. for 254,760,146 is 2.

Thus, LCM of Fractions is 19136416.Finally, LCM of Fractions for 832/254, 293/760, 314/146 is 19136416.