Least Common Multiple of 9538/78, 1517/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9538/78, 1517/838 quickly i.e. 7234573 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9538/78, 1517/838 is 7234573.

LCM(9538/78, 1517/838) = 7234573

LCM of 9538/78, 1517/838

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 9538/78,1517/838

Given numbers are 9538/78,1517/838

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 9538,1517

Least Common Multiple of Numerators i.e. LCM of 9538,1517 is 14469146.

GCF of Denominators means GCF of 78,838 as per the given fractions.

GCF of 78,838 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9538,1517

LCM of Fractions 9538/78,1517/838 is 7234573

Given numbers has no common factors except 1. So, there LCM is their product i.e 14469146

Least Common Multiple of 9538,1517 with GCF Formula

Least Common Multiple of 9538,1517 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 9538,1517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9538,1517) = 1

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

GCF(9538,1517) x common factors =1 x 1 = 1

LCM(9538,1517) = ( 9538 × 1517 ) / 1

LCM(9538,1517) = 14469146 / 1

LCM(9538,1517) = 14469146


Lets's calculate GCF of 78,838

2 78, 838
39, 419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14469146/2

Therefore the LCM of Fractions 9538/78,1517/838 is 7234573

Greatest Common Factor of 78,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,838 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 78,838 . The biggest common factor number is the GCF number.
So the greatest common factor 78,838 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 9538/78, 1517/838

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 9538/78, 1517/838?

Answer: LCM of Numerators as per given numbers 9538/78, 1517/838 is

LCM of Numerators i.e. for 9538,1517 is 14469146

GCF of denominators i.e. for 78,838 is 2.

Thus, LCM of Fractions is 7234573.Finally, LCM of Fractions for 9538/78, 1517/838 is 7234573.