Least Common Multiple of 43/117, 5115/1914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/117, 5115/1914 quickly i.e. 73315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/117, 5115/1914 is 73315.

LCM(43/117, 5115/1914) = 73315

LCM of 43/117, 5115/1914

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 43/117,5115/1914

Given numbers are 43/117,5115/1914

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 43,5115

Least Common Multiple of Numerators i.e. LCM of 43,5115 is 219945.

GCF of Denominators means GCF of 117,1914 as per the given fractions.

GCF of 117,1914 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,5115

LCM of Fractions 43/117,5115/1914 is 73315

Given numbers has no common factors except 1. So, there LCM is their product i.e 219945

Least Common Multiple of 43,5115 with GCF Formula

Least Common Multiple of 43,5115 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 43,5115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,5115) = 1

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

GCF(43,5115) x common factors =1 x 1 = 1

LCM(43,5115) = ( 43 × 5115 ) / 1

LCM(43,5115) = 219945 / 1

LCM(43,5115) = 219945


Lets's calculate GCF of 117,1914

3 117, 1914
39, 638

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219945/3

Therefore the LCM of Fractions 43/117,5115/1914 is 73315

Greatest Common Factor of 117,1914 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,1914 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 1914

List of positive integer factors of 1914 that divides 1914 without a remainder.

1,2,3,6,11,22,29,33,58,66,87,174,319,638,957,1914

Greatest Common Factor

We found the factors 117,1914 . The biggest common factor number is the GCF number.
So the greatest common factor 117,1914 is 3.


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 43/117, 5115/1914

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 43/117, 5115/1914?

Answer: LCM of Numerators as per given numbers 43/117, 5115/1914 is

LCM of Numerators i.e. for 43,5115 is 219945

GCF of denominators i.e. for 117,1914 is 3.

Thus, LCM of Fractions is 73315.Finally, LCM of Fractions for 43/117, 5115/1914 is 73315.