Least Common Multiple of 26/388, 9496/9874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/388, 9496/9874 quickly i.e. 61724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/388, 9496/9874 is 61724.

LCM(26/388, 9496/9874) = 61724

LCM of 26/388, 9496/9874

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 26/388,9496/9874

Given numbers are 26/388,9496/9874

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 26,9496

Least Common Multiple of Numerators i.e. LCM of 26,9496 is 123448.

GCF of Denominators means GCF of 388,9874 as per the given fractions.

GCF of 388,9874 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,9496

LCM of Fractions 26/388,9496/9874 is 61724

2 26, 9496
13, 4748

∴ So the LCM of the given numbers is 2 x 13 x 4748 = 123448

Least Common Multiple of 26,9496 with GCF Formula

Least Common Multiple of 26,9496 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 26,9496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,9496) = 2

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

GCF(26,9496) x common factors =2 x 1 = 2

LCM(26,9496) = ( 26 × 9496 ) / 2

LCM(26,9496) = 246896 / 2

LCM(26,9496) = 123448


Lets's calculate GCF of 388,9874

2 388, 9874
194, 4937

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123448/2

Therefore the LCM of Fractions 26/388,9496/9874 is 61724

Greatest Common Factor of 388,9874 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,9874 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 9874

List of positive integer factors of 9874 that divides 9874 without a remainder.

1,2,4937,9874

Greatest Common Factor

We found the factors 388,9874 . The biggest common factor number is the GCF number.
So the greatest common factor 388,9874 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 26/388, 9496/9874

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 26/388, 9496/9874?

Answer: LCM of Numerators as per given numbers 26/388, 9496/9874 is

LCM of Numerators i.e. for 26,9496 is 123448

GCF of denominators i.e. for 388,9874 is 2.

Thus, LCM of Fractions is 61724.Finally, LCM of Fractions for 26/388, 9496/9874 is 61724.