Least Common Multiple of 788/273, 8243/7469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 788/273, 8243/7469 quickly i.e. 6495484/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 788/273, 8243/7469 is 6495484/7.

LCM(788/273, 8243/7469) = 6495484/7

LCM of 788/273, 8243/7469

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 788/273,8243/7469

Given numbers are 788/273,8243/7469

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 788,8243

Least Common Multiple of Numerators i.e. LCM of 788,8243 is 6495484.

GCF of Denominators means GCF of 273,7469 as per the given fractions.

GCF of 273,7469 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 788,8243

LCM of Fractions 788/273,8243/7469 is 6495484/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 6495484

Least Common Multiple of 788,8243 with GCF Formula

Least Common Multiple of 788,8243 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 788,8243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,8243) = 1

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

GCF(788,8243) x common factors =1 x 1 = 1

LCM(788,8243) = ( 788 × 8243 ) / 1

LCM(788,8243) = 6495484 / 1

LCM(788,8243) = 6495484


Lets's calculate GCF of 273,7469

7 273, 7469
39, 1067

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6495484/7

Therefore the LCM of Fractions 788/273,8243/7469 is 6495484/7

Greatest Common Factor of 273,7469 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,7469 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 7469

List of positive integer factors of 7469 that divides 7469 without a remainder.

1,7,11,77,97,679,1067,7469

Greatest Common Factor

We found the factors 273,7469 . The biggest common factor number is the GCF number.
So the greatest common factor 273,7469 is 7.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 788/273, 8243/7469

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 788/273, 8243/7469?

Answer: LCM of Numerators as per given numbers 788/273, 8243/7469 is

LCM of Numerators i.e. for 788,8243 is 6495484

GCF of denominators i.e. for 273,7469 is 7.

Thus, LCM of Fractions is 6495484/7.Finally, LCM of Fractions for 788/273, 8243/7469 is 6495484/7.