Least Common Multiple of 649/36, 286/83, 663/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 649/36, 286/83, 663/673 quickly i.e. 860574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/36, 286/83, 663/673 is 860574.

LCM(649/36, 286/83, 663/673) = 860574

LCM of 649/36, 286/83, 663/673

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 649/36,286/83,663/673

Given numbers are 649/36,286/83,663/673

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 649,286,663

Least Common Multiple of Numerators i.e. LCM of 649,286,663 is 860574.

GCF of Denominators means GCF of 36,83,673 as per the given fractions.

GCF of 36,83,673 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,286,663

LCM of Fractions 649/36,286/83,663/673 is 860574

11 649, 286, 663
13 59, 26, 663
59, 2, 51

∴ So the LCM of the given numbers is 11 x 13 x 59 x 2 x 51 = 860574

Least Common Multiple of 649,286,663 with GCF Formula

Least Common Multiple of 649,286,663 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 649,286,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,286,663) = 1

common factors(in case of two or more numbers have common factors) = 143

GCF(649,286,663) x common factors =1 x 143 = 143

LCM(649,286,663) = ( 649 × 286 × 663 ) / 143

LCM(649,286,663) = 123062082 / 143

LCM(649,286,663) = 860574


Lets's calculate GCF of 36,83,673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 860574/1

Therefore the LCM of Fractions 649/36,286/83,663/673 is 860574

Greatest Common Factor of 36,83,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,83,673 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Greatest Common Factor

We found the factors 36,83,673 . The biggest common factor number is the GCF number.
So the greatest common factor 36,83,673 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 649/36, 286/83, 663/673

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 649/36, 286/83, 663/673?

Answer: LCM of Numerators as per given numbers 649/36, 286/83, 663/673 is

LCM of Numerators i.e. for 649,286,663 is 860574

GCF of denominators i.e. for 36,83,673 is 1.

Thus, LCM of Fractions is 860574.Finally, LCM of Fractions for 649/36, 286/83, 663/673 is 860574.