Least Common Multiple of 708/513, 173/263, 928/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 708/513, 173/263, 928/734 quickly i.e. 28416288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/513, 173/263, 928/734 is 28416288.

LCM(708/513, 173/263, 928/734) = 28416288

LCM of 708/513, 173/263, 928/734

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 708/513,173/263,928/734

Given numbers are 708/513,173/263,928/734

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 708,173,928

Least Common Multiple of Numerators i.e. LCM of 708,173,928 is 28416288.

GCF of Denominators means GCF of 513,263,734 as per the given fractions.

GCF of 513,263,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,173,928

LCM of Fractions 708/513,173/263,928/734 is 28416288

2 708, 173, 928
2 354, 173, 464
177, 173, 232

∴ So the LCM of the given numbers is 2 x 2 x 177 x 173 x 232 = 28416288

Least Common Multiple of 708,173,928 with GCF Formula

Least Common Multiple of 708,173,928 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 708,173,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,173,928) = 1

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

GCF(708,173,928) x common factors =1 x 4 = 4

LCM(708,173,928) = ( 708 × 173 × 928 ) / 4

LCM(708,173,928) = 113665152 / 4

LCM(708,173,928) = 28416288


Lets's calculate GCF of 513,263,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28416288/1

Therefore the LCM of Fractions 708/513,173/263,928/734 is 28416288

Greatest Common Factor of 513,263,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,263,734 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 513,263,734 . The biggest common factor number is the GCF number.
So the greatest common factor 513,263,734 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 708/513, 173/263, 928/734

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 708/513, 173/263, 928/734?

Answer: LCM of Numerators as per given numbers 708/513, 173/263, 928/734 is

LCM of Numerators i.e. for 708,173,928 is 28416288

GCF of denominators i.e. for 513,263,734 is 1.

Thus, LCM of Fractions is 28416288.Finally, LCM of Fractions for 708/513, 173/263, 928/734 is 28416288.