Least Common Multiple of 7928/724, 4134/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7928/724, 4134/362 quickly i.e. 16387176/362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7928/724, 4134/362 is 16387176/362.

LCM(7928/724, 4134/362) = 16387176/362

LCM of 7928/724, 4134/362

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 7928/724,4134/362

Given numbers are 7928/724,4134/362

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 7928,4134

Least Common Multiple of Numerators i.e. LCM of 7928,4134 is 16387176.

GCF of Denominators means GCF of 724,362 as per the given fractions.

GCF of 724,362 is 362 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7928,4134

LCM of Fractions 7928/724,4134/362 is 16387176/362

2 7928, 4134
3964, 2067

∴ So the LCM of the given numbers is 2 x 3964 x 2067 = 16387176

Least Common Multiple of 7928,4134 with GCF Formula

Least Common Multiple of 7928,4134 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 7928,4134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7928,4134) = 2

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

GCF(7928,4134) x common factors =2 x 1 = 2

LCM(7928,4134) = ( 7928 × 4134 ) / 2

LCM(7928,4134) = 32774352 / 2

LCM(7928,4134) = 16387176


Lets's calculate GCF of 724,362

2 724, 362
181 362, 181
2, 1

∴ So the GCF of the given numbers is 2 x 181 = 362

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16387176/362

Therefore the LCM of Fractions 7928/724,4134/362 is 16387176/362

Greatest Common Factor of 724,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,362 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 724,362 . The biggest common factor number is the GCF number.
So the greatest common factor 724,362 is 362.


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 7928/724, 4134/362

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 7928/724, 4134/362?

Answer: LCM of Numerators as per given numbers 7928/724, 4134/362 is

LCM of Numerators i.e. for 7928,4134 is 16387176

GCF of denominators i.e. for 724,362 is 362.

Thus, LCM of Fractions is 16387176/362.Finally, LCM of Fractions for 7928/724, 4134/362 is 16387176/362.