Least Common Multiple of 464/923, 1558/9590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/923, 1558/9590 quickly i.e. 361456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/923, 1558/9590 is 361456.

LCM(464/923, 1558/9590) = 361456

LCM of 464/923, 1558/9590

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 464/923,1558/9590

Given numbers are 464/923,1558/9590

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 464,1558

Least Common Multiple of Numerators i.e. LCM of 464,1558 is 361456.

GCF of Denominators means GCF of 923,9590 as per the given fractions.

GCF of 923,9590 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,1558

LCM of Fractions 464/923,1558/9590 is 361456

2 464, 1558
232, 779

∴ So the LCM of the given numbers is 2 x 232 x 779 = 361456

Least Common Multiple of 464,1558 with GCF Formula

Least Common Multiple of 464,1558 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 464,1558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,1558) = 2

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

GCF(464,1558) x common factors =2 x 1 = 2

LCM(464,1558) = ( 464 × 1558 ) / 2

LCM(464,1558) = 722912 / 2

LCM(464,1558) = 361456


Lets's calculate GCF of 923,9590

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361456/1

Therefore the LCM of Fractions 464/923,1558/9590 is 361456

Greatest Common Factor of 923,9590 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,9590 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 9590

List of positive integer factors of 9590 that divides 9590 without a remainder.

1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590

Greatest Common Factor

We found the factors 923,9590 . The biggest common factor number is the GCF number.
So the greatest common factor 923,9590 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 464/923, 1558/9590

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 464/923, 1558/9590?

Answer: LCM of Numerators as per given numbers 464/923, 1558/9590 is

LCM of Numerators i.e. for 464,1558 is 361456

GCF of denominators i.e. for 923,9590 is 1.

Thus, LCM of Fractions is 361456.Finally, LCM of Fractions for 464/923, 1558/9590 is 361456.