Least Common Multiple of 5492/734, 3944/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5492/734, 3944/116 quickly i.e. 2707556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5492/734, 3944/116 is 2707556.

LCM(5492/734, 3944/116) = 2707556

LCM of 5492/734, 3944/116

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 5492/734,3944/116

Given numbers are 5492/734,3944/116

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 5492,3944

Least Common Multiple of Numerators i.e. LCM of 5492,3944 is 5415112.

GCF of Denominators means GCF of 734,116 as per the given fractions.

GCF of 734,116 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5492,3944

LCM of Fractions 5492/734,3944/116 is 2707556

2 5492, 3944
2 2746, 1972
1373, 986

∴ So the LCM of the given numbers is 2 x 2 x 1373 x 986 = 5415112

Least Common Multiple of 5492,3944 with GCF Formula

Least Common Multiple of 5492,3944 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 5492,3944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5492,3944) = 4

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

GCF(5492,3944) x common factors =4 x 1 = 4

LCM(5492,3944) = ( 5492 × 3944 ) / 4

LCM(5492,3944) = 21660448 / 4

LCM(5492,3944) = 5415112


Lets's calculate GCF of 734,116

2 734, 116
367, 58

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5415112/2

Therefore the LCM of Fractions 5492/734,3944/116 is 2707556

Greatest Common Factor of 734,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,116 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 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 734,116 . The biggest common factor number is the GCF number.
So the greatest common factor 734,116 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 5492/734, 3944/116

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 5492/734, 3944/116?

Answer: LCM of Numerators as per given numbers 5492/734, 3944/116 is

LCM of Numerators i.e. for 5492,3944 is 5415112

GCF of denominators i.e. for 734,116 is 2.

Thus, LCM of Fractions is 2707556.Finally, LCM of Fractions for 5492/734, 3944/116 is 2707556.