Least Common Multiple of 744/532, 343/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/532, 343/707 quickly i.e. 36456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/532, 343/707 is 36456.

LCM(744/532, 343/707) = 36456

LCM of 744/532, 343/707

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 744/532,343/707

Given numbers are 744/532,343/707

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 744,343

Least Common Multiple of Numerators i.e. LCM of 744,343 is 255192.

GCF of Denominators means GCF of 532,707 as per the given fractions.

GCF of 532,707 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,343

LCM of Fractions 744/532,343/707 is 36456

Given numbers has no common factors except 1. So, there LCM is their product i.e 255192

Least Common Multiple of 744,343 with GCF Formula

Least Common Multiple of 744,343 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 744,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,343) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(744,343) x common factors =1 x 1 = 1

LCM(744,343) = ( 744 × 343 ) / 1

LCM(744,343) = 255192 / 1

LCM(744,343) = 255192


Lets's calculate GCF of 532,707

7 532, 707
76, 101

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255192/7

Therefore the LCM of Fractions 744/532,343/707 is 36456

Greatest Common Factor of 532,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,707 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 707

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

1,7,101,707

Greatest Common Factor

We found the factors 532,707 . The biggest common factor number is the GCF number.
So the greatest common factor 532,707 is 7.


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 744/532, 343/707

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 744/532, 343/707?

Answer: LCM of Numerators as per given numbers 744/532, 343/707 is

LCM of Numerators i.e. for 744,343 is 255192

GCF of denominators i.e. for 532,707 is 7.

Thus, LCM of Fractions is 36456.Finally, LCM of Fractions for 744/532, 343/707 is 36456.