Least Common Multiple of 326/22, 765/66, 266/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 326/22, 765/66, 266/478 quickly i.e. 16584435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 326/22, 765/66, 266/478 is 16584435.

LCM(326/22, 765/66, 266/478) = 16584435

LCM of 326/22, 765/66, 266/478

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 326/22,765/66,266/478

Given numbers are 326/22,765/66,266/478

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 326,765,266

Least Common Multiple of Numerators i.e. LCM of 326,765,266 is 33168870.

GCF of Denominators means GCF of 22,66,478 as per the given fractions.

GCF of 22,66,478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 326,765,266

LCM of Fractions 326/22,765/66,266/478 is 16584435

2 326, 765, 266
163, 765, 133

∴ So the LCM of the given numbers is 2 x 163 x 765 x 133 = 33168870

Least Common Multiple of 326,765,266 with GCF Formula

Least Common Multiple of 326,765,266 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 326,765,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,765,266) = 1

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

GCF(326,765,266) x common factors =1 x 2 = 2

LCM(326,765,266) = ( 326 × 765 × 266 ) / 2

LCM(326,765,266) = 66337740 / 2

LCM(326,765,266) = 33168870


Lets's calculate GCF of 22,66,478

2 22, 66, 478
11, 33, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33168870/2

Therefore the LCM of Fractions 326/22,765/66,266/478 is 16584435

Greatest Common Factor of 22,66,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,66,478 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 22,66,478 . The biggest common factor number is the GCF number.
So the greatest common factor 22,66,478 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 326/22, 765/66, 266/478

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 326/22, 765/66, 266/478?

Answer: LCM of Numerators as per given numbers 326/22, 765/66, 266/478 is

LCM of Numerators i.e. for 326,765,266 is 33168870

GCF of denominators i.e. for 22,66,478 is 2.

Thus, LCM of Fractions is 16584435.Finally, LCM of Fractions for 326/22, 765/66, 266/478 is 16584435.