Least Common Multiple of 7382/516, 4771/6720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7382/516, 4771/6720 quickly i.e. 35219522/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7382/516, 4771/6720 is 35219522/12.

LCM(7382/516, 4771/6720) = 35219522/12

LCM of 7382/516, 4771/6720

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 7382/516,4771/6720

Given numbers are 7382/516,4771/6720

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 7382,4771

Least Common Multiple of Numerators i.e. LCM of 7382,4771 is 35219522.

GCF of Denominators means GCF of 516,6720 as per the given fractions.

GCF of 516,6720 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7382,4771

LCM of Fractions 7382/516,4771/6720 is 35219522/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 35219522

Least Common Multiple of 7382,4771 with GCF Formula

Least Common Multiple of 7382,4771 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 7382,4771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7382,4771) = 1

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

GCF(7382,4771) x common factors =1 x 1 = 1

LCM(7382,4771) = ( 7382 × 4771 ) / 1

LCM(7382,4771) = 35219522 / 1

LCM(7382,4771) = 35219522


Lets's calculate GCF of 516,6720

2 516, 6720
2 258, 3360
3 129, 1680
43, 560

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35219522/12

Therefore the LCM of Fractions 7382/516,4771/6720 is 35219522/12

Greatest Common Factor of 516,6720 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,6720 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 6720

List of positive integer factors of 6720 that divides 6720 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720

Greatest Common Factor

We found the factors 516,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 516,6720 is 12.


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 7382/516, 4771/6720

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 7382/516, 4771/6720?

Answer: LCM of Numerators as per given numbers 7382/516, 4771/6720 is

LCM of Numerators i.e. for 7382,4771 is 35219522

GCF of denominators i.e. for 516,6720 is 12.

Thus, LCM of Fractions is 35219522/12.Finally, LCM of Fractions for 7382/516, 4771/6720 is 35219522/12.