Least Common Multiple of 44/340, 6764/9136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/340, 6764/9136 quickly i.e. 18601 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/340, 6764/9136 is 18601.

LCM(44/340, 6764/9136) = 18601

LCM of 44/340, 6764/9136

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 44/340,6764/9136

Given numbers are 44/340,6764/9136

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 44,6764

Least Common Multiple of Numerators i.e. LCM of 44,6764 is 74404.

GCF of Denominators means GCF of 340,9136 as per the given fractions.

GCF of 340,9136 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,6764

LCM of Fractions 44/340,6764/9136 is 18601

2 44, 6764
2 22, 3382
11, 1691

∴ So the LCM of the given numbers is 2 x 2 x 11 x 1691 = 74404

Least Common Multiple of 44,6764 with GCF Formula

Least Common Multiple of 44,6764 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 44,6764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,6764) = 4

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

GCF(44,6764) x common factors =4 x 1 = 4

LCM(44,6764) = ( 44 × 6764 ) / 4

LCM(44,6764) = 297616 / 4

LCM(44,6764) = 74404


Lets's calculate GCF of 340,9136

2 340, 9136
2 170, 4568
85, 2284

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74404/4

Therefore the LCM of Fractions 44/340,6764/9136 is 18601

Greatest Common Factor of 340,9136 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,9136 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 9136

List of positive integer factors of 9136 that divides 9136 without a remainder.

1,2,4,8,16,571,1142,2284,4568,9136

Greatest Common Factor

We found the factors 340,9136 . The biggest common factor number is the GCF number.
So the greatest common factor 340,9136 is 4.


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 44/340, 6764/9136

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 44/340, 6764/9136?

Answer: LCM of Numerators as per given numbers 44/340, 6764/9136 is

LCM of Numerators i.e. for 44,6764 is 74404

GCF of denominators i.e. for 340,9136 is 4.

Thus, LCM of Fractions is 18601.Finally, LCM of Fractions for 44/340, 6764/9136 is 18601.