Least Common Multiple of 1035/143, 8733/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1035/143, 8733/649 quickly i.e. 3012885/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1035/143, 8733/649 is 3012885/11.

LCM(1035/143, 8733/649) = 3012885/11

LCM of 1035/143, 8733/649

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 1035/143,8733/649

Given numbers are 1035/143,8733/649

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 1035,8733

Least Common Multiple of Numerators i.e. LCM of 1035,8733 is 3012885.

GCF of Denominators means GCF of 143,649 as per the given fractions.

GCF of 143,649 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1035,8733

LCM of Fractions 1035/143,8733/649 is 3012885/11

3 1035, 8733
345, 2911

∴ So the LCM of the given numbers is 3 x 345 x 2911 = 3012885

Least Common Multiple of 1035,8733 with GCF Formula

Least Common Multiple of 1035,8733 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 1035,8733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1035,8733) = 3

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

GCF(1035,8733) x common factors =3 x 1 = 3

LCM(1035,8733) = ( 1035 × 8733 ) / 3

LCM(1035,8733) = 9038655 / 3

LCM(1035,8733) = 3012885


Lets's calculate GCF of 143,649

11 143, 649
13, 59

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3012885/11

Therefore the LCM of Fractions 1035/143,8733/649 is 3012885/11

Greatest Common Factor of 143,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,649 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 143,649 . The biggest common factor number is the GCF number.
So the greatest common factor 143,649 is 11.


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 1035/143, 8733/649

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 1035/143, 8733/649?

Answer: LCM of Numerators as per given numbers 1035/143, 8733/649 is

LCM of Numerators i.e. for 1035,8733 is 3012885

GCF of denominators i.e. for 143,649 is 11.

Thus, LCM of Fractions is 3012885/11.Finally, LCM of Fractions for 1035/143, 8733/649 is 3012885/11.