Least Common Multiple of 26/90, 679/52, 389/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/90, 679/52, 389/966 quickly i.e. 3433703 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/90, 679/52, 389/966 is 3433703.

LCM(26/90, 679/52, 389/966) = 3433703

LCM of 26/90, 679/52, 389/966

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 26/90,679/52,389/966

Given numbers are 26/90,679/52,389/966

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 26,679,389

Least Common Multiple of Numerators i.e. LCM of 26,679,389 is 6867406.

GCF of Denominators means GCF of 90,52,966 as per the given fractions.

GCF of 90,52,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,679,389

LCM of Fractions 26/90,679/52,389/966 is 3433703

Given numbers has no common factors except 1. So, there LCM is their product i.e 6867406

Least Common Multiple of 26,679,389 with GCF Formula

Least Common Multiple of 26,679,389 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 26,679,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,679,389) = 1

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

GCF(26,679,389) x common factors =1 x 1 = 1

LCM(26,679,389) = ( 26 × 679 × 389 ) / 1

LCM(26,679,389) = 6867406 / 1

LCM(26,679,389) = 6867406


Lets's calculate GCF of 90,52,966

2 90, 52, 966
45, 26, 483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6867406/2

Therefore the LCM of Fractions 26/90,679/52,389/966 is 3433703

Greatest Common Factor of 90,52,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,52,966 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 90,52,966 . The biggest common factor number is the GCF number.
So the greatest common factor 90,52,966 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/90, 679/52, 389/966

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 26/90, 679/52, 389/966?

Answer: LCM of Numerators as per given numbers 26/90, 679/52, 389/966 is

LCM of Numerators i.e. for 26,679,389 is 6867406

GCF of denominators i.e. for 90,52,966 is 2.

Thus, LCM of Fractions is 3433703.Finally, LCM of Fractions for 26/90, 679/52, 389/966 is 3433703.