Least Common Multiple of 2/94, 5/50, 4/84, 59/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2/94, 5/50, 4/84, 59/498 quickly i.e. 590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/94, 5/50, 4/84, 59/498 is 590.

LCM(2/94, 5/50, 4/84, 59/498) = 590

LCM of 2/94, 5/50, 4/84, 59/498

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 2/94,5/50,4/84,59/498

Given numbers are 2/94,5/50,4/84,59/498

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 2,5,4,59

Least Common Multiple of Numerators i.e. LCM of 2,5,4,59 is 1180.

GCF of Denominators means GCF of 94,50,84,498 as per the given fractions.

GCF of 94,50,84,498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,5,4,59

LCM of Fractions 2/94,5/50,4/84,59/498 is 590

2 2, 5, 4, 59
1, 5, 2, 59

∴ So the LCM of the given numbers is 2 x 1 x 5 x 2 x 59 = 1180

Least Common Multiple of 2,5,4,59 with GCF Formula

Least Common Multiple of 2,5,4,59 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 2,5,4,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,5,4,59) = 1

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

GCF(2,5,4,59) x common factors =1 x 2 = 2

LCM(2,5,4,59) = ( 2 × 5 × 4 × 59 ) / 2

LCM(2,5,4,59) = 2360 / 2

LCM(2,5,4,59) = 1180


Lets's calculate GCF of 94,50,84,498

2 94, 50, 84, 498
47, 25, 42, 249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1180/2

Therefore the LCM of Fractions 2/94,5/50,4/84,59/498 is 590

Greatest Common Factor of 94,50,84,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,50,84,498 By Matching Biggest Common Factor Method

Factors of 94

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

1,2,47,94

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 94,50,84,498 . The biggest common factor number is the GCF number.
So the greatest common factor 94,50,84,498 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2/94, 5/50, 4/84, 59/498

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 2/94, 5/50, 4/84, 59/498?

Answer: LCM of Numerators as per given numbers 2/94, 5/50, 4/84, 59/498 is

LCM of Numerators i.e. for 2,5,4,59 is 1180

GCF of denominators i.e. for 94,50,84,498 is 2.

Thus, LCM of Fractions is 590.Finally, LCM of Fractions for 2/94, 5/50, 4/84, 59/498 is 590.