Least Common Multiple of 50/198, 292/596, 943/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/198, 292/596, 943/672 quickly i.e. 3441950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/198, 292/596, 943/672 is 3441950.

LCM(50/198, 292/596, 943/672) = 3441950

LCM of 50/198, 292/596, 943/672

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 50/198,292/596,943/672

Given numbers are 50/198,292/596,943/672

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 50,292,943

Least Common Multiple of Numerators i.e. LCM of 50,292,943 is 6883900.

GCF of Denominators means GCF of 198,596,672 as per the given fractions.

GCF of 198,596,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,292,943

LCM of Fractions 50/198,292/596,943/672 is 3441950

2 50, 292, 943
25, 146, 943

∴ So the LCM of the given numbers is 2 x 25 x 146 x 943 = 6883900

Least Common Multiple of 50,292,943 with GCF Formula

Least Common Multiple of 50,292,943 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 50,292,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,292,943) = 1

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

GCF(50,292,943) x common factors =1 x 2 = 2

LCM(50,292,943) = ( 50 × 292 × 943 ) / 2

LCM(50,292,943) = 13767800 / 2

LCM(50,292,943) = 6883900


Lets's calculate GCF of 198,596,672

2 198, 596, 672
99, 298, 336

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6883900/2

Therefore the LCM of Fractions 50/198,292/596,943/672 is 3441950

Greatest Common Factor of 198,596,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,596,672 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 198,596,672 . The biggest common factor number is the GCF number.
So the greatest common factor 198,596,672 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/198, 292/596, 943/672

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 50/198, 292/596, 943/672?

Answer: LCM of Numerators as per given numbers 50/198, 292/596, 943/672 is

LCM of Numerators i.e. for 50,292,943 is 6883900

GCF of denominators i.e. for 198,596,672 is 2.

Thus, LCM of Fractions is 3441950.Finally, LCM of Fractions for 50/198, 292/596, 943/672 is 3441950.