Least Common Multiple of 29/548, 26/124, 218/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/548, 26/124, 218/781 quickly i.e. 82186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/548, 26/124, 218/781 is 82186.

LCM(29/548, 26/124, 218/781) = 82186

LCM of 29/548, 26/124, 218/781

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 29/548,26/124,218/781

Given numbers are 29/548,26/124,218/781

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 29,26,218

Least Common Multiple of Numerators i.e. LCM of 29,26,218 is 82186.

GCF of Denominators means GCF of 548,124,781 as per the given fractions.

GCF of 548,124,781 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,26,218

LCM of Fractions 29/548,26/124,218/781 is 82186

2 29, 26, 218
29, 13, 109

∴ So the LCM of the given numbers is 2 x 29 x 13 x 109 = 82186

Least Common Multiple of 29,26,218 with GCF Formula

Least Common Multiple of 29,26,218 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 29,26,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,26,218) = 1

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

GCF(29,26,218) x common factors =1 x 2 = 2

LCM(29,26,218) = ( 29 × 26 × 218 ) / 2

LCM(29,26,218) = 164372 / 2

LCM(29,26,218) = 82186


Lets's calculate GCF of 548,124,781

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82186/1

Therefore the LCM of Fractions 29/548,26/124,218/781 is 82186

Greatest Common Factor of 548,124,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,124,781 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 548,124,781 . The biggest common factor number is the GCF number.
So the greatest common factor 548,124,781 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/548, 26/124, 218/781

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 29/548, 26/124, 218/781?

Answer: LCM of Numerators as per given numbers 29/548, 26/124, 218/781 is

LCM of Numerators i.e. for 29,26,218 is 82186

GCF of denominators i.e. for 548,124,781 is 1.

Thus, LCM of Fractions is 82186.Finally, LCM of Fractions for 29/548, 26/124, 218/781 is 82186.