Least Common Multiple of 46/567, 1017/1107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/567, 1017/1107 quickly i.e. 46782/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/567, 1017/1107 is 46782/27.

LCM(46/567, 1017/1107) = 46782/27

LCM of 46/567, 1017/1107

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 46/567,1017/1107

Given numbers are 46/567,1017/1107

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 46,1017

Least Common Multiple of Numerators i.e. LCM of 46,1017 is 46782.

GCF of Denominators means GCF of 567,1107 as per the given fractions.

GCF of 567,1107 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,1017

LCM of Fractions 46/567,1017/1107 is 46782/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 46782

Least Common Multiple of 46,1017 with GCF Formula

Least Common Multiple of 46,1017 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 46,1017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,1017) = 1

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

GCF(46,1017) x common factors =1 x 1 = 1

LCM(46,1017) = ( 46 × 1017 ) / 1

LCM(46,1017) = 46782 / 1

LCM(46,1017) = 46782


Lets's calculate GCF of 567,1107

3 567, 1107
3 189, 369
3 63, 123
21, 41

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46782/27

Therefore the LCM of Fractions 46/567,1017/1107 is 46782/27

Greatest Common Factor of 567,1107 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,1107 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 1107

List of positive integer factors of 1107 that divides 1107 without a remainder.

1,3,9,27,41,123,369,1107

Greatest Common Factor

We found the factors 567,1107 . The biggest common factor number is the GCF number.
So the greatest common factor 567,1107 is 27.


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 46/567, 1017/1107

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 46/567, 1017/1107?

Answer: LCM of Numerators as per given numbers 46/567, 1017/1107 is

LCM of Numerators i.e. for 46,1017 is 46782

GCF of denominators i.e. for 567,1107 is 27.

Thus, LCM of Fractions is 46782/27.Finally, LCM of Fractions for 46/567, 1017/1107 is 46782/27.