Least Common Multiple of 938/734, 302/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 938/734, 302/587 quickly i.e. 141638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 938/734, 302/587 is 141638.

LCM(938/734, 302/587) = 141638

LCM of 938/734, 302/587

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 938/734,302/587

Given numbers are 938/734,302/587

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 938,302

Least Common Multiple of Numerators i.e. LCM of 938,302 is 141638.

GCF of Denominators means GCF of 734,587 as per the given fractions.

GCF of 734,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 938,302

LCM of Fractions 938/734,302/587 is 141638

2 938, 302
469, 151

∴ So the LCM of the given numbers is 2 x 469 x 151 = 141638

Least Common Multiple of 938,302 with GCF Formula

Least Common Multiple of 938,302 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 938,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,302) = 2

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

GCF(938,302) x common factors =2 x 1 = 2

LCM(938,302) = ( 938 × 302 ) / 2

LCM(938,302) = 283276 / 2

LCM(938,302) = 141638


Lets's calculate GCF of 734,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141638/1

Therefore the LCM of Fractions 938/734,302/587 is 141638

Greatest Common Factor of 734,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,587 By Matching Biggest Common Factor Method

Factors of 734

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

1,2,367,734

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 734,587 . The biggest common factor number is the GCF number.
So the greatest common factor 734,587 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 938/734, 302/587

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 938/734, 302/587?

Answer: LCM of Numerators as per given numbers 938/734, 302/587 is

LCM of Numerators i.e. for 938,302 is 141638

GCF of denominators i.e. for 734,587 is 1.

Thus, LCM of Fractions is 141638.Finally, LCM of Fractions for 938/734, 302/587 is 141638.