Least Common Multiple of 529/27, 122/47, 549/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 529/27, 122/47, 549/357 quickly i.e. 580842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 529/27, 122/47, 549/357 is 580842.

LCM(529/27, 122/47, 549/357) = 580842

LCM of 529/27, 122/47, 549/357

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 529/27,122/47,549/357

Given numbers are 529/27,122/47,549/357

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 529,122,549

Least Common Multiple of Numerators i.e. LCM of 529,122,549 is 580842.

GCF of Denominators means GCF of 27,47,357 as per the given fractions.

GCF of 27,47,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 529,122,549

LCM of Fractions 529/27,122/47,549/357 is 580842

61 529, 122, 549
529, 2, 9

∴ So the LCM of the given numbers is 61 x 529 x 2 x 9 = 580842

Least Common Multiple of 529,122,549 with GCF Formula

Least Common Multiple of 529,122,549 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 529,122,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,122,549) = 1

common factors(in case of two or more numbers have common factors) = 61

GCF(529,122,549) x common factors =1 x 61 = 61

LCM(529,122,549) = ( 529 × 122 × 549 ) / 61

LCM(529,122,549) = 35431362 / 61

LCM(529,122,549) = 580842


Lets's calculate GCF of 27,47,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580842/1

Therefore the LCM of Fractions 529/27,122/47,549/357 is 580842

Greatest Common Factor of 27,47,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,47,357 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 27,47,357 . The biggest common factor number is the GCF number.
So the greatest common factor 27,47,357 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 529/27, 122/47, 549/357

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 529/27, 122/47, 549/357?

Answer: LCM of Numerators as per given numbers 529/27, 122/47, 549/357 is

LCM of Numerators i.e. for 529,122,549 is 580842

GCF of denominators i.e. for 27,47,357 is 1.

Thus, LCM of Fractions is 580842.Finally, LCM of Fractions for 529/27, 122/47, 549/357 is 580842.