Least Common Multiple of 580/44, 598/9692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/44, 598/9692 quickly i.e. 43355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/44, 598/9692 is 43355.

LCM(580/44, 598/9692) = 43355

LCM of 580/44, 598/9692

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 580/44,598/9692

Given numbers are 580/44,598/9692

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 580,598

Least Common Multiple of Numerators i.e. LCM of 580,598 is 173420.

GCF of Denominators means GCF of 44,9692 as per the given fractions.

GCF of 44,9692 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,598

LCM of Fractions 580/44,598/9692 is 43355

2 580, 598
290, 299

∴ So the LCM of the given numbers is 2 x 290 x 299 = 173420

Least Common Multiple of 580,598 with GCF Formula

Least Common Multiple of 580,598 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 580,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,598) = 2

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

GCF(580,598) x common factors =2 x 1 = 2

LCM(580,598) = ( 580 × 598 ) / 2

LCM(580,598) = 346840 / 2

LCM(580,598) = 173420


Lets's calculate GCF of 44,9692

2 44, 9692
2 22, 4846
11, 2423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173420/4

Therefore the LCM of Fractions 580/44,598/9692 is 43355

Greatest Common Factor of 44,9692 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,9692 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 9692

List of positive integer factors of 9692 that divides 9692 without a remainder.

1,2,4,2423,4846,9692

Greatest Common Factor

We found the factors 44,9692 . The biggest common factor number is the GCF number.
So the greatest common factor 44,9692 is 4.


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 580/44, 598/9692

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 580/44, 598/9692?

Answer: LCM of Numerators as per given numbers 580/44, 598/9692 is

LCM of Numerators i.e. for 580,598 is 173420

GCF of denominators i.e. for 44,9692 is 4.

Thus, LCM of Fractions is 43355.Finally, LCM of Fractions for 580/44, 598/9692 is 43355.