Least Common Multiple of 14/268, 8794/3634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/268, 8794/3634 quickly i.e. 30779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/268, 8794/3634 is 30779.

LCM(14/268, 8794/3634) = 30779

LCM of 14/268, 8794/3634

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 14/268,8794/3634

Given numbers are 14/268,8794/3634

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 14,8794

Least Common Multiple of Numerators i.e. LCM of 14,8794 is 61558.

GCF of Denominators means GCF of 268,3634 as per the given fractions.

GCF of 268,3634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,8794

LCM of Fractions 14/268,8794/3634 is 30779

2 14, 8794
7, 4397

∴ So the LCM of the given numbers is 2 x 7 x 4397 = 61558

Least Common Multiple of 14,8794 with GCF Formula

Least Common Multiple of 14,8794 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 14,8794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,8794) = 2

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

GCF(14,8794) x common factors =2 x 1 = 2

LCM(14,8794) = ( 14 × 8794 ) / 2

LCM(14,8794) = 123116 / 2

LCM(14,8794) = 61558


Lets's calculate GCF of 268,3634

2 268, 3634
134, 1817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61558/2

Therefore the LCM of Fractions 14/268,8794/3634 is 30779

Greatest Common Factor of 268,3634 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,3634 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 3634

List of positive integer factors of 3634 that divides 3634 without a remainder.

1,2,23,46,79,158,1817,3634

Greatest Common Factor

We found the factors 268,3634 . The biggest common factor number is the GCF number.
So the greatest common factor 268,3634 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 14/268, 8794/3634

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 14/268, 8794/3634?

Answer: LCM of Numerators as per given numbers 14/268, 8794/3634 is

LCM of Numerators i.e. for 14,8794 is 61558

GCF of denominators i.e. for 268,3634 is 2.

Thus, LCM of Fractions is 30779.Finally, LCM of Fractions for 14/268, 8794/3634 is 30779.