Least Common Multiple of 9058/496, 6116/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9058/496, 6116/321 quickly i.e. 27699364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9058/496, 6116/321 is 27699364.

LCM(9058/496, 6116/321) = 27699364

LCM of 9058/496, 6116/321

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 9058/496,6116/321

Given numbers are 9058/496,6116/321

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 9058,6116

Least Common Multiple of Numerators i.e. LCM of 9058,6116 is 27699364.

GCF of Denominators means GCF of 496,321 as per the given fractions.

GCF of 496,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9058,6116

LCM of Fractions 9058/496,6116/321 is 27699364

2 9058, 6116
4529, 3058

∴ So the LCM of the given numbers is 2 x 4529 x 3058 = 27699364

Least Common Multiple of 9058,6116 with GCF Formula

Least Common Multiple of 9058,6116 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 9058,6116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9058,6116) = 2

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

GCF(9058,6116) x common factors =2 x 1 = 2

LCM(9058,6116) = ( 9058 × 6116 ) / 2

LCM(9058,6116) = 55398728 / 2

LCM(9058,6116) = 27699364


Lets's calculate GCF of 496,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27699364/1

Therefore the LCM of Fractions 9058/496,6116/321 is 27699364

Greatest Common Factor of 496,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,321 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 496,321 . The biggest common factor number is the GCF number.
So the greatest common factor 496,321 is 1.


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 9058/496, 6116/321

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 9058/496, 6116/321?

Answer: LCM of Numerators as per given numbers 9058/496, 6116/321 is

LCM of Numerators i.e. for 9058,6116 is 27699364

GCF of denominators i.e. for 496,321 is 1.

Thus, LCM of Fractions is 27699364.Finally, LCM of Fractions for 9058/496, 6116/321 is 27699364.