Least Common Multiple of 538/719, 932/827, 773/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 538/719, 932/827, 773/176 quickly i.e. 193797284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 538/719, 932/827, 773/176 is 193797284.

LCM(538/719, 932/827, 773/176) = 193797284

LCM of 538/719, 932/827, 773/176

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 538/719,932/827,773/176

Given numbers are 538/719,932/827,773/176

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 538,932,773

Least Common Multiple of Numerators i.e. LCM of 538,932,773 is 193797284.

GCF of Denominators means GCF of 719,827,176 as per the given fractions.

GCF of 719,827,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 538,932,773

LCM of Fractions 538/719,932/827,773/176 is 193797284

2 538, 932, 773
269, 466, 773

∴ So the LCM of the given numbers is 2 x 269 x 466 x 773 = 193797284

Least Common Multiple of 538,932,773 with GCF Formula

Least Common Multiple of 538,932,773 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 538,932,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,932,773) = 1

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

GCF(538,932,773) x common factors =1 x 2 = 2

LCM(538,932,773) = ( 538 × 932 × 773 ) / 2

LCM(538,932,773) = 387594568 / 2

LCM(538,932,773) = 193797284


Lets's calculate GCF of 719,827,176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193797284/1

Therefore the LCM of Fractions 538/719,932/827,773/176 is 193797284

Greatest Common Factor of 719,827,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,827,176 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 719,827,176 . The biggest common factor number is the GCF number.
So the greatest common factor 719,827,176 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 538/719, 932/827, 773/176

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 538/719, 932/827, 773/176?

Answer: LCM of Numerators as per given numbers 538/719, 932/827, 773/176 is

LCM of Numerators i.e. for 538,932,773 is 193797284

GCF of denominators i.e. for 719,827,176 is 1.

Thus, LCM of Fractions is 193797284.Finally, LCM of Fractions for 538/719, 932/827, 773/176 is 193797284.