Least Common Multiple of 1045/467, 9460/5493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1045/467, 9460/5493 quickly i.e. 179740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1045/467, 9460/5493 is 179740.

LCM(1045/467, 9460/5493) = 179740

LCM of 1045/467, 9460/5493

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 1045/467,9460/5493

Given numbers are 1045/467,9460/5493

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 1045,9460

Least Common Multiple of Numerators i.e. LCM of 1045,9460 is 179740.

GCF of Denominators means GCF of 467,5493 as per the given fractions.

GCF of 467,5493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1045,9460

LCM of Fractions 1045/467,9460/5493 is 179740

5 1045, 9460
11 209, 1892
19, 172

∴ So the LCM of the given numbers is 5 x 11 x 19 x 172 = 179740

Least Common Multiple of 1045,9460 with GCF Formula

Least Common Multiple of 1045,9460 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 1045,9460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1045,9460) = 55

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

GCF(1045,9460) x common factors =55 x 1 = 55

LCM(1045,9460) = ( 1045 × 9460 ) / 55

LCM(1045,9460) = 9885700 / 55

LCM(1045,9460) = 179740


Lets's calculate GCF of 467,5493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179740/1

Therefore the LCM of Fractions 1045/467,9460/5493 is 179740

Greatest Common Factor of 467,5493 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,5493 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 5493

List of positive integer factors of 5493 that divides 5493 without a remainder.

1,3,1831,5493

Greatest Common Factor

We found the factors 467,5493 . The biggest common factor number is the GCF number.
So the greatest common factor 467,5493 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 1045/467, 9460/5493

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 1045/467, 9460/5493?

Answer: LCM of Numerators as per given numbers 1045/467, 9460/5493 is

LCM of Numerators i.e. for 1045,9460 is 179740

GCF of denominators i.e. for 467,5493 is 1.

Thus, LCM of Fractions is 179740.Finally, LCM of Fractions for 1045/467, 9460/5493 is 179740.