Least Common Multiple of 26/99, 10/88, 868/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/99, 10/88, 868/435 quickly i.e. 56420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/99, 10/88, 868/435 is 56420.

LCM(26/99, 10/88, 868/435) = 56420

LCM of 26/99, 10/88, 868/435

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 26/99,10/88,868/435

Given numbers are 26/99,10/88,868/435

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 26,10,868

Least Common Multiple of Numerators i.e. LCM of 26,10,868 is 56420.

GCF of Denominators means GCF of 99,88,435 as per the given fractions.

GCF of 99,88,435 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,10,868

LCM of Fractions 26/99,10/88,868/435 is 56420

2 26, 10, 868
13, 5, 434

∴ So the LCM of the given numbers is 2 x 13 x 5 x 434 = 56420

Least Common Multiple of 26,10,868 with GCF Formula

Least Common Multiple of 26,10,868 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 26,10,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,10,868) = 2

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

GCF(26,10,868) x common factors =2 x 2 = 4

LCM(26,10,868) = ( 26 × 10 × 868 ) / 4

LCM(26,10,868) = 225680 / 4

LCM(26,10,868) = 56420


Lets's calculate GCF of 99,88,435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56420/1

Therefore the LCM of Fractions 26/99,10/88,868/435 is 56420

Greatest Common Factor of 99,88,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,88,435 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 99,88,435 . The biggest common factor number is the GCF number.
So the greatest common factor 99,88,435 is 1.


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Frequently Asked Questions on Fractional LCM of 26/99, 10/88, 868/435

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 26/99, 10/88, 868/435?

Answer: LCM of Numerators as per given numbers 26/99, 10/88, 868/435 is

LCM of Numerators i.e. for 26,10,868 is 56420

GCF of denominators i.e. for 99,88,435 is 1.

Thus, LCM of Fractions is 56420.Finally, LCM of Fractions for 26/99, 10/88, 868/435 is 56420.