Least Common Multiple of 5716/513, 6462/7860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5716/513, 6462/7860 quickly i.e. 6156132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5716/513, 6462/7860 is 6156132.

LCM(5716/513, 6462/7860) = 6156132

LCM of 5716/513, 6462/7860

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 5716/513,6462/7860

Given numbers are 5716/513,6462/7860

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 5716,6462

Least Common Multiple of Numerators i.e. LCM of 5716,6462 is 18468396.

GCF of Denominators means GCF of 513,7860 as per the given fractions.

GCF of 513,7860 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5716,6462

LCM of Fractions 5716/513,6462/7860 is 6156132

2 5716, 6462
2858, 3231

∴ So the LCM of the given numbers is 2 x 2858 x 3231 = 18468396

Least Common Multiple of 5716,6462 with GCF Formula

Least Common Multiple of 5716,6462 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 5716,6462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5716,6462) = 2

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

GCF(5716,6462) x common factors =2 x 1 = 2

LCM(5716,6462) = ( 5716 × 6462 ) / 2

LCM(5716,6462) = 36936792 / 2

LCM(5716,6462) = 18468396


Lets's calculate GCF of 513,7860

3 513, 7860
171, 2620

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18468396/3

Therefore the LCM of Fractions 5716/513,6462/7860 is 6156132

Greatest Common Factor of 513,7860 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,7860 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 7860

List of positive integer factors of 7860 that divides 7860 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,131,262,393,524,655,786,1310,1572,1965,2620,3930,7860

Greatest Common Factor

We found the factors 513,7860 . The biggest common factor number is the GCF number.
So the greatest common factor 513,7860 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 5716/513, 6462/7860

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 5716/513, 6462/7860?

Answer: LCM of Numerators as per given numbers 5716/513, 6462/7860 is

LCM of Numerators i.e. for 5716,6462 is 18468396

GCF of denominators i.e. for 513,7860 is 3.

Thus, LCM of Fractions is 6156132.Finally, LCM of Fractions for 5716/513, 6462/7860 is 6156132.