Least Common Multiple of 824/788, 203/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 824/788, 203/584 quickly i.e. 41818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/788, 203/584 is 41818.

LCM(824/788, 203/584) = 41818

LCM of 824/788, 203/584

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 824/788,203/584

Given numbers are 824/788,203/584

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 824,203

Least Common Multiple of Numerators i.e. LCM of 824,203 is 167272.

GCF of Denominators means GCF of 788,584 as per the given fractions.

GCF of 788,584 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,203

LCM of Fractions 824/788,203/584 is 41818

Given numbers has no common factors except 1. So, there LCM is their product i.e 167272

Least Common Multiple of 824,203 with GCF Formula

Least Common Multiple of 824,203 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 824,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,203) = 1

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

GCF(824,203) x common factors =1 x 1 = 1

LCM(824,203) = ( 824 × 203 ) / 1

LCM(824,203) = 167272 / 1

LCM(824,203) = 167272


Lets's calculate GCF of 788,584

2 788, 584
2 394, 292
197, 146

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167272/4

Therefore the LCM of Fractions 824/788,203/584 is 41818

Greatest Common Factor of 788,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,584 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 788,584 . The biggest common factor number is the GCF number.
So the greatest common factor 788,584 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 824/788, 203/584

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 824/788, 203/584?

Answer: LCM of Numerators as per given numbers 824/788, 203/584 is

LCM of Numerators i.e. for 824,203 is 167272

GCF of denominators i.e. for 788,584 is 4.

Thus, LCM of Fractions is 41818.Finally, LCM of Fractions for 824/788, 203/584 is 41818.