Least Common Multiple of 6/54, 3/53, 49/33, 50/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6/54, 3/53, 49/33, 50/241 quickly i.e. 7350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/54, 3/53, 49/33, 50/241 is 7350.

LCM(6/54, 3/53, 49/33, 50/241) = 7350

LCM of 6/54, 3/53, 49/33, 50/241

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 6/54,3/53,49/33,50/241

Given numbers are 6/54,3/53,49/33,50/241

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 6,3,49,50

Least Common Multiple of Numerators i.e. LCM of 6,3,49,50 is 7350.

GCF of Denominators means GCF of 54,53,33,241 as per the given fractions.

GCF of 54,53,33,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,3,49,50

LCM of Fractions 6/54,3/53,49/33,50/241 is 7350

2 6, 3, 49, 50
3 3, 3, 49, 25
1, 1, 49, 25

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 49 x 25 = 7350

Least Common Multiple of 6,3,49,50 with GCF Formula

Least Common Multiple of 6,3,49,50 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 6,3,49,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,3,49,50) = 1

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

GCF(6,3,49,50) x common factors =1 x 6 = 6

LCM(6,3,49,50) = ( 6 × 3 × 49 × 50 ) / 6

LCM(6,3,49,50) = 44100 / 6

LCM(6,3,49,50) = 7350


Lets's calculate GCF of 54,53,33,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7350/1

Therefore the LCM of Fractions 6/54,3/53,49/33,50/241 is 7350

Greatest Common Factor of 54,53,33,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,53,33,241 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 33

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

1,3,11,33

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 54,53,33,241 . The biggest common factor number is the GCF number.
So the greatest common factor 54,53,33,241 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6/54, 3/53, 49/33, 50/241

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 6/54, 3/53, 49/33, 50/241?

Answer: LCM of Numerators as per given numbers 6/54, 3/53, 49/33, 50/241 is

LCM of Numerators i.e. for 6,3,49,50 is 7350

GCF of denominators i.e. for 54,53,33,241 is 1.

Thus, LCM of Fractions is 7350.Finally, LCM of Fractions for 6/54, 3/53, 49/33, 50/241 is 7350.