Least Common Multiple of 9014/583, 7045/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9014/583, 7045/742 quickly i.e. 63503630/53 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9014/583, 7045/742 is 63503630/53.

LCM(9014/583, 7045/742) = 63503630/53

LCM of 9014/583, 7045/742

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 9014/583,7045/742

Given numbers are 9014/583,7045/742

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 9014,7045

Least Common Multiple of Numerators i.e. LCM of 9014,7045 is 63503630.

GCF of Denominators means GCF of 583,742 as per the given fractions.

GCF of 583,742 is 53 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9014,7045

LCM of Fractions 9014/583,7045/742 is 63503630/53

Given numbers has no common factors except 1. So, there LCM is their product i.e 63503630

Least Common Multiple of 9014,7045 with GCF Formula

Least Common Multiple of 9014,7045 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 9014,7045 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9014,7045) = 1

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

GCF(9014,7045) x common factors =1 x 1 = 1

LCM(9014,7045) = ( 9014 × 7045 ) / 1

LCM(9014,7045) = 63503630 / 1

LCM(9014,7045) = 63503630


Lets's calculate GCF of 583,742

53 583, 742
11, 14

∴ So the GCF of the given numbers is 53 = 53

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63503630/53

Therefore the LCM of Fractions 9014/583,7045/742 is 63503630/53

Greatest Common Factor of 583,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,742 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 583,742 . The biggest common factor number is the GCF number.
So the greatest common factor 583,742 is 53.


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 9014/583, 7045/742

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 9014/583, 7045/742?

Answer: LCM of Numerators as per given numbers 9014/583, 7045/742 is

LCM of Numerators i.e. for 9014,7045 is 63503630

GCF of denominators i.e. for 583,742 is 53.

Thus, LCM of Fractions is 63503630/53.Finally, LCM of Fractions for 9014/583, 7045/742 is 63503630/53.