Least Common Multiple of 3073/494, 9596/8892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3073/494, 9596/8892 quickly i.e. 29488508/494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3073/494, 9596/8892 is 29488508/494.

LCM(3073/494, 9596/8892) = 29488508/494

LCM of 3073/494, 9596/8892

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 3073/494,9596/8892

Given numbers are 3073/494,9596/8892

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 3073,9596

Least Common Multiple of Numerators i.e. LCM of 3073,9596 is 29488508.

GCF of Denominators means GCF of 494,8892 as per the given fractions.

GCF of 494,8892 is 494 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3073,9596

LCM of Fractions 3073/494,9596/8892 is 29488508/494

Given numbers has no common factors except 1. So, there LCM is their product i.e 29488508

Least Common Multiple of 3073,9596 with GCF Formula

Least Common Multiple of 3073,9596 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 3073,9596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3073,9596) = 1

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

GCF(3073,9596) x common factors =1 x 1 = 1

LCM(3073,9596) = ( 3073 × 9596 ) / 1

LCM(3073,9596) = 29488508 / 1

LCM(3073,9596) = 29488508


Lets's calculate GCF of 494,8892

2 494, 8892
13 247, 4446
19 19, 342
1, 18

∴ So the GCF of the given numbers is 2 x 13 x 19 = 494

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29488508/494

Therefore the LCM of Fractions 3073/494,9596/8892 is 29488508/494

Greatest Common Factor of 494,8892 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,8892 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 8892

List of positive integer factors of 8892 that divides 8892 without a remainder.

1,2,3,4,6,9,12,13,18,19,26,36,38,39,52,57,76,78,114,117,156,171,228,234,247,342,468,494,684,741,988,1482,2223,2964,4446,8892

Greatest Common Factor

We found the factors 494,8892 . The biggest common factor number is the GCF number.
So the greatest common factor 494,8892 is 494.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3073/494, 9596/8892

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 3073/494, 9596/8892?

Answer: LCM of Numerators as per given numbers 3073/494, 9596/8892 is

LCM of Numerators i.e. for 3073,9596 is 29488508

GCF of denominators i.e. for 494,8892 is 494.

Thus, LCM of Fractions is 29488508/494.Finally, LCM of Fractions for 3073/494, 9596/8892 is 29488508/494.