Least Common Multiple of 764/291, 3994/2843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 764/291, 3994/2843 quickly i.e. 1525708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/291, 3994/2843 is 1525708.

LCM(764/291, 3994/2843) = 1525708

LCM of 764/291, 3994/2843

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 764/291,3994/2843

Given numbers are 764/291,3994/2843

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 764,3994

Least Common Multiple of Numerators i.e. LCM of 764,3994 is 1525708.

GCF of Denominators means GCF of 291,2843 as per the given fractions.

GCF of 291,2843 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,3994

LCM of Fractions 764/291,3994/2843 is 1525708

2 764, 3994
382, 1997

∴ So the LCM of the given numbers is 2 x 382 x 1997 = 1525708

Least Common Multiple of 764,3994 with GCF Formula

Least Common Multiple of 764,3994 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 764,3994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,3994) = 2

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

GCF(764,3994) x common factors =2 x 1 = 2

LCM(764,3994) = ( 764 × 3994 ) / 2

LCM(764,3994) = 3051416 / 2

LCM(764,3994) = 1525708


Lets's calculate GCF of 291,2843

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1525708/1

Therefore the LCM of Fractions 764/291,3994/2843 is 1525708

Greatest Common Factor of 291,2843 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,2843 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 2843

List of positive integer factors of 2843 that divides 2843 without a remainder.

1,2843

Greatest Common Factor

We found the factors 291,2843 . The biggest common factor number is the GCF number.
So the greatest common factor 291,2843 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 764/291, 3994/2843

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 764/291, 3994/2843?

Answer: LCM of Numerators as per given numbers 764/291, 3994/2843 is

LCM of Numerators i.e. for 764,3994 is 1525708

GCF of denominators i.e. for 291,2843 is 1.

Thus, LCM of Fractions is 1525708.Finally, LCM of Fractions for 764/291, 3994/2843 is 1525708.