Least Common Multiple of 274/65, 638/3898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 274/65, 638/3898 quickly i.e. 87406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 274/65, 638/3898 is 87406.

LCM(274/65, 638/3898) = 87406

LCM of 274/65, 638/3898

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 274/65,638/3898

Given numbers are 274/65,638/3898

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 274,638

Least Common Multiple of Numerators i.e. LCM of 274,638 is 87406.

GCF of Denominators means GCF of 65,3898 as per the given fractions.

GCF of 65,3898 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 274,638

LCM of Fractions 274/65,638/3898 is 87406

2 274, 638
137, 319

∴ So the LCM of the given numbers is 2 x 137 x 319 = 87406

Least Common Multiple of 274,638 with GCF Formula

Least Common Multiple of 274,638 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 274,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,638) = 2

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

GCF(274,638) x common factors =2 x 1 = 2

LCM(274,638) = ( 274 × 638 ) / 2

LCM(274,638) = 174812 / 2

LCM(274,638) = 87406


Lets's calculate GCF of 65,3898

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87406/1

Therefore the LCM of Fractions 274/65,638/3898 is 87406

Greatest Common Factor of 65,3898 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,3898 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 3898

List of positive integer factors of 3898 that divides 3898 without a remainder.

1,2,1949,3898

Greatest Common Factor

We found the factors 65,3898 . The biggest common factor number is the GCF number.
So the greatest common factor 65,3898 is 1.


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 274/65, 638/3898

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 274/65, 638/3898?

Answer: LCM of Numerators as per given numbers 274/65, 638/3898 is

LCM of Numerators i.e. for 274,638 is 87406

GCF of denominators i.e. for 65,3898 is 1.

Thus, LCM of Fractions is 87406.Finally, LCM of Fractions for 274/65, 638/3898 is 87406.