Least Common Multiple of 27/78, 42/26, 526/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/78, 42/26, 526/549 quickly i.e. 99414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/78, 42/26, 526/549 is 99414.

LCM(27/78, 42/26, 526/549) = 99414

LCM of 27/78, 42/26, 526/549

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 27/78,42/26,526/549

Given numbers are 27/78,42/26,526/549

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 27,42,526

Least Common Multiple of Numerators i.e. LCM of 27,42,526 is 99414.

GCF of Denominators means GCF of 78,26,549 as per the given fractions.

GCF of 78,26,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,42,526

LCM of Fractions 27/78,42/26,526/549 is 99414

2 27, 42, 526
3 27, 21, 263
9, 7, 263

∴ So the LCM of the given numbers is 2 x 3 x 9 x 7 x 263 = 99414

Least Common Multiple of 27,42,526 with GCF Formula

Least Common Multiple of 27,42,526 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 27,42,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,42,526) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(27,42,526) x common factors =1 x 6 = 6

LCM(27,42,526) = ( 27 × 42 × 526 ) / 6

LCM(27,42,526) = 596484 / 6

LCM(27,42,526) = 99414


Lets's calculate GCF of 78,26,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99414/1

Therefore the LCM of Fractions 27/78,42/26,526/549 is 99414

Greatest Common Factor of 78,26,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,26,549 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 78,26,549 . The biggest common factor number is the GCF number.
So the greatest common factor 78,26,549 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 27/78, 42/26, 526/549

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 27/78, 42/26, 526/549?

Answer: LCM of Numerators as per given numbers 27/78, 42/26, 526/549 is

LCM of Numerators i.e. for 27,42,526 is 99414

GCF of denominators i.e. for 78,26,549 is 1.

Thus, LCM of Fractions is 99414.Finally, LCM of Fractions for 27/78, 42/26, 526/549 is 99414.