Least Common Multiple of 326/55, 740/53, 317/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 326/55, 740/53, 317/638 quickly i.e. 38236540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 326/55, 740/53, 317/638 is 38236540.

LCM(326/55, 740/53, 317/638) = 38236540

LCM of 326/55, 740/53, 317/638

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 326/55,740/53,317/638

Given numbers are 326/55,740/53,317/638

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 326,740,317

Least Common Multiple of Numerators i.e. LCM of 326,740,317 is 38236540.

GCF of Denominators means GCF of 55,53,638 as per the given fractions.

GCF of 55,53,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 326,740,317

LCM of Fractions 326/55,740/53,317/638 is 38236540

2 326, 740, 317
163, 370, 317

∴ So the LCM of the given numbers is 2 x 163 x 370 x 317 = 38236540

Least Common Multiple of 326,740,317 with GCF Formula

Least Common Multiple of 326,740,317 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 326,740,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,740,317) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(326,740,317) x common factors =1 x 2 = 2

LCM(326,740,317) = ( 326 × 740 × 317 ) / 2

LCM(326,740,317) = 76473080 / 2

LCM(326,740,317) = 38236540


Lets's calculate GCF of 55,53,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38236540/1

Therefore the LCM of Fractions 326/55,740/53,317/638 is 38236540

Greatest Common Factor of 55,53,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,53,638 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 55,53,638 . The biggest common factor number is the GCF number.
So the greatest common factor 55,53,638 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 326/55, 740/53, 317/638

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 326/55, 740/53, 317/638?

Answer: LCM of Numerators as per given numbers 326/55, 740/53, 317/638 is

LCM of Numerators i.e. for 326,740,317 is 38236540

GCF of denominators i.e. for 55,53,638 is 1.

Thus, LCM of Fractions is 38236540.Finally, LCM of Fractions for 326/55, 740/53, 317/638 is 38236540.