Least Common Multiple of 4496/834, 3298/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4496/834, 3298/939 quickly i.e. 7413904/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4496/834, 3298/939 is 7413904/3.

LCM(4496/834, 3298/939) = 7413904/3

LCM of 4496/834, 3298/939

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 4496/834,3298/939

Given numbers are 4496/834,3298/939

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 4496,3298

Least Common Multiple of Numerators i.e. LCM of 4496,3298 is 7413904.

GCF of Denominators means GCF of 834,939 as per the given fractions.

GCF of 834,939 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4496,3298

LCM of Fractions 4496/834,3298/939 is 7413904/3

2 4496, 3298
2248, 1649

∴ So the LCM of the given numbers is 2 x 2248 x 1649 = 7413904

Least Common Multiple of 4496,3298 with GCF Formula

Least Common Multiple of 4496,3298 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 4496,3298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4496,3298) = 2

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

GCF(4496,3298) x common factors =2 x 1 = 2

LCM(4496,3298) = ( 4496 × 3298 ) / 2

LCM(4496,3298) = 14827808 / 2

LCM(4496,3298) = 7413904


Lets's calculate GCF of 834,939

3 834, 939
278, 313

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7413904/3

Therefore the LCM of Fractions 4496/834,3298/939 is 7413904/3

Greatest Common Factor of 834,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,939 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 834,939 . The biggest common factor number is the GCF number.
So the greatest common factor 834,939 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4496/834, 3298/939

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 4496/834, 3298/939?

Answer: LCM of Numerators as per given numbers 4496/834, 3298/939 is

LCM of Numerators i.e. for 4496,3298 is 7413904

GCF of denominators i.e. for 834,939 is 3.

Thus, LCM of Fractions is 7413904/3.Finally, LCM of Fractions for 4496/834, 3298/939 is 7413904/3.