Least Common Multiple of 26/933, 36/515, 208/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/933, 36/515, 208/587 quickly i.e. 1872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/933, 36/515, 208/587 is 1872.

LCM(26/933, 36/515, 208/587) = 1872

LCM of 26/933, 36/515, 208/587

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 26/933,36/515,208/587

Given numbers are 26/933,36/515,208/587

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 26,36,208

Least Common Multiple of Numerators i.e. LCM of 26,36,208 is 1872.

GCF of Denominators means GCF of 933,515,587 as per the given fractions.

GCF of 933,515,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,36,208

LCM of Fractions 26/933,36/515,208/587 is 1872

2 26, 36, 208
2 13, 18, 104
13 13, 9, 52
1, 9, 4

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 9 x 4 = 1872

Least Common Multiple of 26,36,208 with GCF Formula

Least Common Multiple of 26,36,208 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 26,36,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,36,208) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(26,36,208) x common factors =2 x 52 = 104

LCM(26,36,208) = ( 26 × 36 × 208 ) / 104

LCM(26,36,208) = 194688 / 104

LCM(26,36,208) = 1872


Lets's calculate GCF of 933,515,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1872/1

Therefore the LCM of Fractions 26/933,36/515,208/587 is 1872

Greatest Common Factor of 933,515,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,515,587 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 933,515,587 . The biggest common factor number is the GCF number.
So the greatest common factor 933,515,587 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/933, 36/515, 208/587

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 26/933, 36/515, 208/587?

Answer: LCM of Numerators as per given numbers 26/933, 36/515, 208/587 is

LCM of Numerators i.e. for 26,36,208 is 1872

GCF of denominators i.e. for 933,515,587 is 1.

Thus, LCM of Fractions is 1872.Finally, LCM of Fractions for 26/933, 36/515, 208/587 is 1872.