Least Common Multiple of 8742/314, 7178/1438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8742/314, 7178/1438 quickly i.e. 15687519 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8742/314, 7178/1438 is 15687519.

LCM(8742/314, 7178/1438) = 15687519

LCM of 8742/314, 7178/1438

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 8742/314,7178/1438

Given numbers are 8742/314,7178/1438

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 8742,7178

Least Common Multiple of Numerators i.e. LCM of 8742,7178 is 31375038.

GCF of Denominators means GCF of 314,1438 as per the given fractions.

GCF of 314,1438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8742,7178

LCM of Fractions 8742/314,7178/1438 is 15687519

2 8742, 7178
4371, 3589

∴ So the LCM of the given numbers is 2 x 4371 x 3589 = 31375038

Least Common Multiple of 8742,7178 with GCF Formula

Least Common Multiple of 8742,7178 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 8742,7178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8742,7178) = 2

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

GCF(8742,7178) x common factors =2 x 1 = 2

LCM(8742,7178) = ( 8742 × 7178 ) / 2

LCM(8742,7178) = 62750076 / 2

LCM(8742,7178) = 31375038


Lets's calculate GCF of 314,1438

2 314, 1438
157, 719

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31375038/2

Therefore the LCM of Fractions 8742/314,7178/1438 is 15687519

Greatest Common Factor of 314,1438 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,1438 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 1438

List of positive integer factors of 1438 that divides 1438 without a remainder.

1,2,719,1438

Greatest Common Factor

We found the factors 314,1438 . The biggest common factor number is the GCF number.
So the greatest common factor 314,1438 is 2.


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 8742/314, 7178/1438

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 8742/314, 7178/1438?

Answer: LCM of Numerators as per given numbers 8742/314, 7178/1438 is

LCM of Numerators i.e. for 8742,7178 is 31375038

GCF of denominators i.e. for 314,1438 is 2.

Thus, LCM of Fractions is 15687519.Finally, LCM of Fractions for 8742/314, 7178/1438 is 15687519.