Least Common Multiple of 694/82, 238/5090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 694/82, 238/5090 quickly i.e. 41293 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 694/82, 238/5090 is 41293.

LCM(694/82, 238/5090) = 41293

LCM of 694/82, 238/5090

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 694/82,238/5090

Given numbers are 694/82,238/5090

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 694,238

Least Common Multiple of Numerators i.e. LCM of 694,238 is 82586.

GCF of Denominators means GCF of 82,5090 as per the given fractions.

GCF of 82,5090 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 694,238

LCM of Fractions 694/82,238/5090 is 41293

2 694, 238
347, 119

∴ So the LCM of the given numbers is 2 x 347 x 119 = 82586

Least Common Multiple of 694,238 with GCF Formula

Least Common Multiple of 694,238 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 694,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,238) = 2

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

GCF(694,238) x common factors =2 x 1 = 2

LCM(694,238) = ( 694 × 238 ) / 2

LCM(694,238) = 165172 / 2

LCM(694,238) = 82586


Lets's calculate GCF of 82,5090

2 82, 5090
41, 2545

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82586/2

Therefore the LCM of Fractions 694/82,238/5090 is 41293

Greatest Common Factor of 82,5090 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,5090 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 5090

List of positive integer factors of 5090 that divides 5090 without a remainder.

1,2,5,10,509,1018,2545,5090

Greatest Common Factor

We found the factors 82,5090 . The biggest common factor number is the GCF number.
So the greatest common factor 82,5090 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 694/82, 238/5090

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 694/82, 238/5090?

Answer: LCM of Numerators as per given numbers 694/82, 238/5090 is

LCM of Numerators i.e. for 694,238 is 82586

GCF of denominators i.e. for 82,5090 is 2.

Thus, LCM of Fractions is 41293.Finally, LCM of Fractions for 694/82, 238/5090 is 41293.