Least Common Multiple of 548/33, 621/38, 129/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 548/33, 621/38, 129/557 quickly i.e. 14633244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/33, 621/38, 129/557 is 14633244.

LCM(548/33, 621/38, 129/557) = 14633244

LCM of 548/33, 621/38, 129/557

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 548/33,621/38,129/557

Given numbers are 548/33,621/38,129/557

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 548,621,129

Least Common Multiple of Numerators i.e. LCM of 548,621,129 is 14633244.

GCF of Denominators means GCF of 33,38,557 as per the given fractions.

GCF of 33,38,557 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,621,129

LCM of Fractions 548/33,621/38,129/557 is 14633244

3 548, 621, 129
548, 207, 43

∴ So the LCM of the given numbers is 3 x 548 x 207 x 43 = 14633244

Least Common Multiple of 548,621,129 with GCF Formula

Least Common Multiple of 548,621,129 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 548,621,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,621,129) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(548,621,129) x common factors =1 x 3 = 3

LCM(548,621,129) = ( 548 × 621 × 129 ) / 3

LCM(548,621,129) = 43899732 / 3

LCM(548,621,129) = 14633244


Lets's calculate GCF of 33,38,557

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14633244/1

Therefore the LCM of Fractions 548/33,621/38,129/557 is 14633244

Greatest Common Factor of 33,38,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,38,557 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 33,38,557 . The biggest common factor number is the GCF number.
So the greatest common factor 33,38,557 is 1.


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Frequently Asked Questions on Fractional LCM of 548/33, 621/38, 129/557

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 548/33, 621/38, 129/557?

Answer: LCM of Numerators as per given numbers 548/33, 621/38, 129/557 is

LCM of Numerators i.e. for 548,621,129 is 14633244

GCF of denominators i.e. for 33,38,557 is 1.

Thus, LCM of Fractions is 14633244.Finally, LCM of Fractions for 548/33, 621/38, 129/557 is 14633244.