Least Common Multiple of 8623/117, 8935/3848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8623/117, 8935/3848 quickly i.e. 77046505/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8623/117, 8935/3848 is 77046505/13.

LCM(8623/117, 8935/3848) = 77046505/13

LCM of 8623/117, 8935/3848

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 8623/117,8935/3848

Given numbers are 8623/117,8935/3848

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 8623,8935

Least Common Multiple of Numerators i.e. LCM of 8623,8935 is 77046505.

GCF of Denominators means GCF of 117,3848 as per the given fractions.

GCF of 117,3848 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8623,8935

LCM of Fractions 8623/117,8935/3848 is 77046505/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 77046505

Least Common Multiple of 8623,8935 with GCF Formula

Least Common Multiple of 8623,8935 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 8623,8935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8623,8935) = 1

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

GCF(8623,8935) x common factors =1 x 1 = 1

LCM(8623,8935) = ( 8623 × 8935 ) / 1

LCM(8623,8935) = 77046505 / 1

LCM(8623,8935) = 77046505


Lets's calculate GCF of 117,3848

13 117, 3848
9, 296

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77046505/13

Therefore the LCM of Fractions 8623/117,8935/3848 is 77046505/13

Greatest Common Factor of 117,3848 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,3848 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 3848

List of positive integer factors of 3848 that divides 3848 without a remainder.

1,2,4,8,13,26,37,52,74,104,148,296,481,962,1924,3848

Greatest Common Factor

We found the factors 117,3848 . The biggest common factor number is the GCF number.
So the greatest common factor 117,3848 is 13.


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 8623/117, 8935/3848

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 8623/117, 8935/3848?

Answer: LCM of Numerators as per given numbers 8623/117, 8935/3848 is

LCM of Numerators i.e. for 8623,8935 is 77046505

GCF of denominators i.e. for 117,3848 is 13.

Thus, LCM of Fractions is 77046505/13.Finally, LCM of Fractions for 8623/117, 8935/3848 is 77046505/13.