Least Common Multiple of 26/87, 82/93, 23/62, 14/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/87, 82/93, 23/62, 14/654 quickly i.e. 171626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/87, 82/93, 23/62, 14/654 is 171626.

LCM(26/87, 82/93, 23/62, 14/654) = 171626

LCM of 26/87, 82/93, 23/62, 14/654

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 26/87,82/93,23/62,14/654

Given numbers are 26/87,82/93,23/62,14/654

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 26,82,23,14

Least Common Multiple of Numerators i.e. LCM of 26,82,23,14 is 171626.

GCF of Denominators means GCF of 87,93,62,654 as per the given fractions.

GCF of 87,93,62,654 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,82,23,14

LCM of Fractions 26/87,82/93,23/62,14/654 is 171626

2 26, 82, 23, 14
13, 41, 23, 7

∴ So the LCM of the given numbers is 2 x 13 x 41 x 23 x 7 = 171626

Least Common Multiple of 26,82,23,14 with GCF Formula

Least Common Multiple of 26,82,23,14 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 26,82,23,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,82,23,14) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(26,82,23,14) x common factors =1 x 4 = 4

LCM(26,82,23,14) = ( 26 × 82 × 23 × 14 ) / 4

LCM(26,82,23,14) = 686504 / 4

LCM(26,82,23,14) = 171626


Lets's calculate GCF of 87,93,62,654

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171626/1

Therefore the LCM of Fractions 26/87,82/93,23/62,14/654 is 171626

Greatest Common Factor of 87,93,62,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,93,62,654 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 87,93,62,654 . The biggest common factor number is the GCF number.
So the greatest common factor 87,93,62,654 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 26/87, 82/93, 23/62, 14/654

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 26/87, 82/93, 23/62, 14/654?

Answer: LCM of Numerators as per given numbers 26/87, 82/93, 23/62, 14/654 is

LCM of Numerators i.e. for 26,82,23,14 is 171626

GCF of denominators i.e. for 87,93,62,654 is 1.

Thus, LCM of Fractions is 171626.Finally, LCM of Fractions for 26/87, 82/93, 23/62, 14/654 is 171626.