Least Common Multiple of 723/394, 537/707, 612/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/394, 537/707, 612/826 quickly i.e. 26401068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/394, 537/707, 612/826 is 26401068.

LCM(723/394, 537/707, 612/826) = 26401068

LCM of 723/394, 537/707, 612/826

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 723/394,537/707,612/826

Given numbers are 723/394,537/707,612/826

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 723,537,612

Least Common Multiple of Numerators i.e. LCM of 723,537,612 is 26401068.

GCF of Denominators means GCF of 394,707,826 as per the given fractions.

GCF of 394,707,826 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,537,612

LCM of Fractions 723/394,537/707,612/826 is 26401068

3 723, 537, 612
241, 179, 204

∴ So the LCM of the given numbers is 3 x 241 x 179 x 204 = 26401068

Least Common Multiple of 723,537,612 with GCF Formula

Least Common Multiple of 723,537,612 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 723,537,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,537,612) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(723,537,612) x common factors =3 x 3 = 9

LCM(723,537,612) = ( 723 × 537 × 612 ) / 9

LCM(723,537,612) = 237609612 / 9

LCM(723,537,612) = 26401068


Lets's calculate GCF of 394,707,826

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26401068/1

Therefore the LCM of Fractions 723/394,537/707,612/826 is 26401068

Greatest Common Factor of 394,707,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,707,826 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 394,707,826 . The biggest common factor number is the GCF number.
So the greatest common factor 394,707,826 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 723/394, 537/707, 612/826

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 723/394, 537/707, 612/826?

Answer: LCM of Numerators as per given numbers 723/394, 537/707, 612/826 is

LCM of Numerators i.e. for 723,537,612 is 26401068

GCF of denominators i.e. for 394,707,826 is 1.

Thus, LCM of Fractions is 26401068.Finally, LCM of Fractions for 723/394, 537/707, 612/826 is 26401068.