Least Common Multiple of 5744/94, 9386/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5744/94, 9386/614 quickly i.e. 13478296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5744/94, 9386/614 is 13478296.

LCM(5744/94, 9386/614) = 13478296

LCM of 5744/94, 9386/614

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 5744/94,9386/614

Given numbers are 5744/94,9386/614

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 5744,9386

Least Common Multiple of Numerators i.e. LCM of 5744,9386 is 26956592.

GCF of Denominators means GCF of 94,614 as per the given fractions.

GCF of 94,614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5744,9386

LCM of Fractions 5744/94,9386/614 is 13478296

2 5744, 9386
2872, 4693

∴ So the LCM of the given numbers is 2 x 2872 x 4693 = 26956592

Least Common Multiple of 5744,9386 with GCF Formula

Least Common Multiple of 5744,9386 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 5744,9386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5744,9386) = 2

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

GCF(5744,9386) x common factors =2 x 1 = 2

LCM(5744,9386) = ( 5744 × 9386 ) / 2

LCM(5744,9386) = 53913184 / 2

LCM(5744,9386) = 26956592


Lets's calculate GCF of 94,614

2 94, 614
47, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26956592/2

Therefore the LCM of Fractions 5744/94,9386/614 is 13478296

Greatest Common Factor of 94,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,614 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 94,614 . The biggest common factor number is the GCF number.
So the greatest common factor 94,614 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 5744/94, 9386/614

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 5744/94, 9386/614?

Answer: LCM of Numerators as per given numbers 5744/94, 9386/614 is

LCM of Numerators i.e. for 5744,9386 is 26956592

GCF of denominators i.e. for 94,614 is 2.

Thus, LCM of Fractions is 13478296.Finally, LCM of Fractions for 5744/94, 9386/614 is 13478296.