Least Common Multiple of 47/62, 74/19, 92/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/62, 74/19, 92/119 quickly i.e. 159988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/62, 74/19, 92/119 is 159988.

LCM(47/62, 74/19, 92/119) = 159988

LCM of 47/62, 74/19, 92/119

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 47/62,74/19,92/119

Given numbers are 47/62,74/19,92/119

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 47,74,92

Least Common Multiple of Numerators i.e. LCM of 47,74,92 is 159988.

GCF of Denominators means GCF of 62,19,119 as per the given fractions.

GCF of 62,19,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,74,92

LCM of Fractions 47/62,74/19,92/119 is 159988

2 47, 74, 92
47, 37, 46

∴ So the LCM of the given numbers is 2 x 47 x 37 x 46 = 159988

Least Common Multiple of 47,74,92 with GCF Formula

Least Common Multiple of 47,74,92 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 47,74,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,74,92) = 1

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

GCF(47,74,92) x common factors =1 x 2 = 2

LCM(47,74,92) = ( 47 × 74 × 92 ) / 2

LCM(47,74,92) = 319976 / 2

LCM(47,74,92) = 159988


Lets's calculate GCF of 62,19,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159988/1

Therefore the LCM of Fractions 47/62,74/19,92/119 is 159988

Greatest Common Factor of 62,19,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,19,119 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 62,19,119 . The biggest common factor number is the GCF number.
So the greatest common factor 62,19,119 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 47/62, 74/19, 92/119

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 47/62, 74/19, 92/119?

Answer: LCM of Numerators as per given numbers 47/62, 74/19, 92/119 is

LCM of Numerators i.e. for 47,74,92 is 159988

GCF of denominators i.e. for 62,19,119 is 1.

Thus, LCM of Fractions is 159988.Finally, LCM of Fractions for 47/62, 74/19, 92/119 is 159988.