Least Common Multiple of 58/923, 8604/6393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/923, 8604/6393 quickly i.e. 249516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/923, 8604/6393 is 249516.

LCM(58/923, 8604/6393) = 249516

LCM of 58/923, 8604/6393

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 58/923,8604/6393

Given numbers are 58/923,8604/6393

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 58,8604

Least Common Multiple of Numerators i.e. LCM of 58,8604 is 249516.

GCF of Denominators means GCF of 923,6393 as per the given fractions.

GCF of 923,6393 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,8604

LCM of Fractions 58/923,8604/6393 is 249516

2 58, 8604
29, 4302

∴ So the LCM of the given numbers is 2 x 29 x 4302 = 249516

Least Common Multiple of 58,8604 with GCF Formula

Least Common Multiple of 58,8604 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 58,8604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,8604) = 2

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

GCF(58,8604) x common factors =2 x 1 = 2

LCM(58,8604) = ( 58 × 8604 ) / 2

LCM(58,8604) = 499032 / 2

LCM(58,8604) = 249516


Lets's calculate GCF of 923,6393

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249516/1

Therefore the LCM of Fractions 58/923,8604/6393 is 249516

Greatest Common Factor of 923,6393 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,6393 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 6393

List of positive integer factors of 6393 that divides 6393 without a remainder.

1,3,2131,6393

Greatest Common Factor

We found the factors 923,6393 . The biggest common factor number is the GCF number.
So the greatest common factor 923,6393 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/923, 8604/6393

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 58/923, 8604/6393?

Answer: LCM of Numerators as per given numbers 58/923, 8604/6393 is

LCM of Numerators i.e. for 58,8604 is 249516

GCF of denominators i.e. for 923,6393 is 1.

Thus, LCM of Fractions is 249516.Finally, LCM of Fractions for 58/923, 8604/6393 is 249516.