Least Common Multiple of 178/50, 481/92, 478/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 178/50, 481/92, 478/726 quickly i.e. 10231351 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 178/50, 481/92, 478/726 is 10231351.

LCM(178/50, 481/92, 478/726) = 10231351

LCM of 178/50, 481/92, 478/726

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 178/50,481/92,478/726

Given numbers are 178/50,481/92,478/726

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 178,481,478

Least Common Multiple of Numerators i.e. LCM of 178,481,478 is 20462702.

GCF of Denominators means GCF of 50,92,726 as per the given fractions.

GCF of 50,92,726 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 178,481,478

LCM of Fractions 178/50,481/92,478/726 is 10231351

2 178, 481, 478
89, 481, 239

∴ So the LCM of the given numbers is 2 x 89 x 481 x 239 = 20462702

Least Common Multiple of 178,481,478 with GCF Formula

Least Common Multiple of 178,481,478 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 178,481,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,481,478) = 1

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

GCF(178,481,478) x common factors =1 x 2 = 2

LCM(178,481,478) = ( 178 × 481 × 478 ) / 2

LCM(178,481,478) = 40925404 / 2

LCM(178,481,478) = 20462702


Lets's calculate GCF of 50,92,726

2 50, 92, 726
25, 46, 363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20462702/2

Therefore the LCM of Fractions 178/50,481/92,478/726 is 10231351

Greatest Common Factor of 50,92,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,92,726 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 50,92,726 . The biggest common factor number is the GCF number.
So the greatest common factor 50,92,726 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 178/50, 481/92, 478/726

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 178/50, 481/92, 478/726?

Answer: LCM of Numerators as per given numbers 178/50, 481/92, 478/726 is

LCM of Numerators i.e. for 178,481,478 is 20462702

GCF of denominators i.e. for 50,92,726 is 2.

Thus, LCM of Fractions is 10231351.Finally, LCM of Fractions for 178/50, 481/92, 478/726 is 10231351.