Least Common Multiple of 47/14, 942/95, 377/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/14, 942/95, 377/198 quickly i.e. 16691298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/14, 942/95, 377/198 is 16691298.

LCM(47/14, 942/95, 377/198) = 16691298

LCM of 47/14, 942/95, 377/198

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 47/14,942/95,377/198

Given numbers are 47/14,942/95,377/198

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 47,942,377

Least Common Multiple of Numerators i.e. LCM of 47,942,377 is 16691298.

GCF of Denominators means GCF of 14,95,198 as per the given fractions.

GCF of 14,95,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,942,377

LCM of Fractions 47/14,942/95,377/198 is 16691298

Given numbers has no common factors except 1. So, there LCM is their product i.e 16691298

Least Common Multiple of 47,942,377 with GCF Formula

Least Common Multiple of 47,942,377 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 47,942,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,942,377) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(47,942,377) x common factors =1 x 1 = 1

LCM(47,942,377) = ( 47 × 942 × 377 ) / 1

LCM(47,942,377) = 16691298 / 1

LCM(47,942,377) = 16691298


Lets's calculate GCF of 14,95,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16691298/1

Therefore the LCM of Fractions 47/14,942/95,377/198 is 16691298

Greatest Common Factor of 14,95,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,95,198 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

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

Greatest Common Factor

We found the factors 14,95,198 . The biggest common factor number is the GCF number.
So the greatest common factor 14,95,198 is 1.


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Frequently Asked Questions on Fractional LCM of 47/14, 942/95, 377/198

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 47/14, 942/95, 377/198?

Answer: LCM of Numerators as per given numbers 47/14, 942/95, 377/198 is

LCM of Numerators i.e. for 47,942,377 is 16691298

GCF of denominators i.e. for 14,95,198 is 1.

Thus, LCM of Fractions is 16691298.Finally, LCM of Fractions for 47/14, 942/95, 377/198 is 16691298.