Least Common Multiple of 747/788, 5834/3324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 747/788, 5834/3324 quickly i.e. 4357998/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/788, 5834/3324 is 4357998/4.

LCM(747/788, 5834/3324) = 4357998/4

LCM of 747/788, 5834/3324

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 747/788,5834/3324

Given numbers are 747/788,5834/3324

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 747,5834

Least Common Multiple of Numerators i.e. LCM of 747,5834 is 4357998.

GCF of Denominators means GCF of 788,3324 as per the given fractions.

GCF of 788,3324 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,5834

LCM of Fractions 747/788,5834/3324 is 4357998/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 4357998

Least Common Multiple of 747,5834 with GCF Formula

Least Common Multiple of 747,5834 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 747,5834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,5834) = 1

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

GCF(747,5834) x common factors =1 x 1 = 1

LCM(747,5834) = ( 747 × 5834 ) / 1

LCM(747,5834) = 4357998 / 1

LCM(747,5834) = 4357998


Lets's calculate GCF of 788,3324

2 788, 3324
2 394, 1662
197, 831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4357998/4

Therefore the LCM of Fractions 747/788,5834/3324 is 4357998/4

Greatest Common Factor of 788,3324 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,3324 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 3324

List of positive integer factors of 3324 that divides 3324 without a remainder.

1,2,3,4,6,12,277,554,831,1108,1662,3324

Greatest Common Factor

We found the factors 788,3324 . The biggest common factor number is the GCF number.
So the greatest common factor 788,3324 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 747/788, 5834/3324

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 747/788, 5834/3324?

Answer: LCM of Numerators as per given numbers 747/788, 5834/3324 is

LCM of Numerators i.e. for 747,5834 is 4357998

GCF of denominators i.e. for 788,3324 is 4.

Thus, LCM of Fractions is 4357998/4.Finally, LCM of Fractions for 747/788, 5834/3324 is 4357998/4.