Least Common Multiple of 2738/112, 3115/9616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2738/112, 3115/9616 quickly i.e. 8528870/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2738/112, 3115/9616 is 8528870/16.

LCM(2738/112, 3115/9616) = 8528870/16

LCM of 2738/112, 3115/9616

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 2738/112,3115/9616

Given numbers are 2738/112,3115/9616

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 2738,3115

Least Common Multiple of Numerators i.e. LCM of 2738,3115 is 8528870.

GCF of Denominators means GCF of 112,9616 as per the given fractions.

GCF of 112,9616 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2738,3115

LCM of Fractions 2738/112,3115/9616 is 8528870/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 8528870

Least Common Multiple of 2738,3115 with GCF Formula

Least Common Multiple of 2738,3115 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 2738,3115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2738,3115) = 1

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

GCF(2738,3115) x common factors =1 x 1 = 1

LCM(2738,3115) = ( 2738 × 3115 ) / 1

LCM(2738,3115) = 8528870 / 1

LCM(2738,3115) = 8528870


Lets's calculate GCF of 112,9616

2 112, 9616
2 56, 4808
2 28, 2404
2 14, 1202
7, 601

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8528870/16

Therefore the LCM of Fractions 2738/112,3115/9616 is 8528870/16

Greatest Common Factor of 112,9616 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,9616 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 9616

List of positive integer factors of 9616 that divides 9616 without a remainder.

1,2,4,8,16,601,1202,2404,4808,9616

Greatest Common Factor

We found the factors 112,9616 . The biggest common factor number is the GCF number.
So the greatest common factor 112,9616 is 16.


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 2738/112, 3115/9616

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 2738/112, 3115/9616?

Answer: LCM of Numerators as per given numbers 2738/112, 3115/9616 is

LCM of Numerators i.e. for 2738,3115 is 8528870

GCF of denominators i.e. for 112,9616 is 16.

Thus, LCM of Fractions is 8528870/16.Finally, LCM of Fractions for 2738/112, 3115/9616 is 8528870/16.