Least Common Multiple of 94/42, 87/94, 46/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/42, 87/94, 46/284 quickly i.e. 94047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/42, 87/94, 46/284 is 94047.

LCM(94/42, 87/94, 46/284) = 94047

LCM of 94/42, 87/94, 46/284

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 94/42,87/94,46/284

Given numbers are 94/42,87/94,46/284

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 94,87,46

Least Common Multiple of Numerators i.e. LCM of 94,87,46 is 188094.

GCF of Denominators means GCF of 42,94,284 as per the given fractions.

GCF of 42,94,284 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,87,46

LCM of Fractions 94/42,87/94,46/284 is 94047

2 94, 87, 46
47, 87, 23

∴ So the LCM of the given numbers is 2 x 47 x 87 x 23 = 188094

Least Common Multiple of 94,87,46 with GCF Formula

Least Common Multiple of 94,87,46 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 94,87,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,87,46) = 1

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

GCF(94,87,46) x common factors =1 x 2 = 2

LCM(94,87,46) = ( 94 × 87 × 46 ) / 2

LCM(94,87,46) = 376188 / 2

LCM(94,87,46) = 188094


Lets's calculate GCF of 42,94,284

2 42, 94, 284
21, 47, 142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188094/2

Therefore the LCM of Fractions 94/42,87/94,46/284 is 94047

Greatest Common Factor of 42,94,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,94,284 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 42,94,284 . The biggest common factor number is the GCF number.
So the greatest common factor 42,94,284 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 94/42, 87/94, 46/284

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 94/42, 87/94, 46/284?

Answer: LCM of Numerators as per given numbers 94/42, 87/94, 46/284 is

LCM of Numerators i.e. for 94,87,46 is 188094

GCF of denominators i.e. for 42,94,284 is 2.

Thus, LCM of Fractions is 94047.Finally, LCM of Fractions for 94/42, 87/94, 46/284 is 94047.