Least Common Multiple of 116/292, 5497/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 116/292, 5497/104 quickly i.e. 159413 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 116/292, 5497/104 is 159413.

LCM(116/292, 5497/104) = 159413

LCM of 116/292, 5497/104

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 116/292,5497/104

Given numbers are 116/292,5497/104

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 116,5497

Least Common Multiple of Numerators i.e. LCM of 116,5497 is 637652.

GCF of Denominators means GCF of 292,104 as per the given fractions.

GCF of 292,104 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 116,5497

LCM of Fractions 116/292,5497/104 is 159413

Given numbers has no common factors except 1. So, there LCM is their product i.e 637652

Least Common Multiple of 116,5497 with GCF Formula

Least Common Multiple of 116,5497 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 116,5497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,5497) = 1

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

GCF(116,5497) x common factors =1 x 1 = 1

LCM(116,5497) = ( 116 × 5497 ) / 1

LCM(116,5497) = 637652 / 1

LCM(116,5497) = 637652


Lets's calculate GCF of 292,104

2 292, 104
2 146, 52
73, 26

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 637652/4

Therefore the LCM of Fractions 116/292,5497/104 is 159413

Greatest Common Factor of 292,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,104 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 292,104 . The biggest common factor number is the GCF number.
So the greatest common factor 292,104 is 4.


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 116/292, 5497/104

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 116/292, 5497/104?

Answer: LCM of Numerators as per given numbers 116/292, 5497/104 is

LCM of Numerators i.e. for 116,5497 is 637652

GCF of denominators i.e. for 292,104 is 4.

Thus, LCM of Fractions is 159413.Finally, LCM of Fractions for 116/292, 5497/104 is 159413.