Least Common Multiple of 1107/286, 5043/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1107/286, 5043/807 quickly i.e. 45387 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1107/286, 5043/807 is 45387.

LCM(1107/286, 5043/807) = 45387

LCM of 1107/286, 5043/807

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 1107/286,5043/807

Given numbers are 1107/286,5043/807

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 1107,5043

Least Common Multiple of Numerators i.e. LCM of 1107,5043 is 45387.

GCF of Denominators means GCF of 286,807 as per the given fractions.

GCF of 286,807 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1107,5043

LCM of Fractions 1107/286,5043/807 is 45387

3 1107, 5043
41 369, 1681
9, 41

∴ So the LCM of the given numbers is 3 x 41 x 9 x 41 = 45387

Least Common Multiple of 1107,5043 with GCF Formula

Least Common Multiple of 1107,5043 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 1107,5043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1107,5043) = 123

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

GCF(1107,5043) x common factors =123 x 1 = 123

LCM(1107,5043) = ( 1107 × 5043 ) / 123

LCM(1107,5043) = 5582601 / 123

LCM(1107,5043) = 45387


Lets's calculate GCF of 286,807

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45387/1

Therefore the LCM of Fractions 1107/286,5043/807 is 45387

Greatest Common Factor of 286,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,807 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 286,807 . The biggest common factor number is the GCF number.
So the greatest common factor 286,807 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 1107/286, 5043/807

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 1107/286, 5043/807?

Answer: LCM of Numerators as per given numbers 1107/286, 5043/807 is

LCM of Numerators i.e. for 1107,5043 is 45387

GCF of denominators i.e. for 286,807 is 1.

Thus, LCM of Fractions is 45387.Finally, LCM of Fractions for 1107/286, 5043/807 is 45387.