Least Common Multiple of 503/786, 986/123, 649/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 503/786, 986/123, 649/213 quickly i.e. 321876742/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 503/786, 986/123, 649/213 is 321876742/3.

LCM(503/786, 986/123, 649/213) = 321876742/3

LCM of 503/786, 986/123, 649/213

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 503/786,986/123,649/213

Given numbers are 503/786,986/123,649/213

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 503,986,649

Least Common Multiple of Numerators i.e. LCM of 503,986,649 is 321876742.

GCF of Denominators means GCF of 786,123,213 as per the given fractions.

GCF of 786,123,213 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 503,986,649

LCM of Fractions 503/786,986/123,649/213 is 321876742/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 321876742

Least Common Multiple of 503,986,649 with GCF Formula

Least Common Multiple of 503,986,649 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 503,986,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,986,649) = 1

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

GCF(503,986,649) x common factors =1 x 1 = 1

LCM(503,986,649) = ( 503 × 986 × 649 ) / 1

LCM(503,986,649) = 321876742 / 1

LCM(503,986,649) = 321876742


Lets's calculate GCF of 786,123,213

3 786, 123, 213
262, 41, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321876742/3

Therefore the LCM of Fractions 503/786,986/123,649/213 is 321876742/3

Greatest Common Factor of 786,123,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,123,213 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 786,123,213 . The biggest common factor number is the GCF number.
So the greatest common factor 786,123,213 is 3.


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 503/786, 986/123, 649/213

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 503/786, 986/123, 649/213?

Answer: LCM of Numerators as per given numbers 503/786, 986/123, 649/213 is

LCM of Numerators i.e. for 503,986,649 is 321876742

GCF of denominators i.e. for 786,123,213 is 3.

Thus, LCM of Fractions is 321876742/3.Finally, LCM of Fractions for 503/786, 986/123, 649/213 is 321876742/3.