Least Common Multiple of 6733/711, 5514/8370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6733/711, 5514/8370 quickly i.e. 37125762/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6733/711, 5514/8370 is 37125762/9.

LCM(6733/711, 5514/8370) = 37125762/9

LCM of 6733/711, 5514/8370

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 6733/711,5514/8370

Given numbers are 6733/711,5514/8370

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 6733,5514

Least Common Multiple of Numerators i.e. LCM of 6733,5514 is 37125762.

GCF of Denominators means GCF of 711,8370 as per the given fractions.

GCF of 711,8370 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6733,5514

LCM of Fractions 6733/711,5514/8370 is 37125762/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 37125762

Least Common Multiple of 6733,5514 with GCF Formula

Least Common Multiple of 6733,5514 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 6733,5514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6733,5514) = 1

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

GCF(6733,5514) x common factors =1 x 1 = 1

LCM(6733,5514) = ( 6733 × 5514 ) / 1

LCM(6733,5514) = 37125762 / 1

LCM(6733,5514) = 37125762


Lets's calculate GCF of 711,8370

3 711, 8370
3 237, 2790
79, 930

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37125762/9

Therefore the LCM of Fractions 6733/711,5514/8370 is 37125762/9

Greatest Common Factor of 711,8370 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,8370 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 8370

List of positive integer factors of 8370 that divides 8370 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370

Greatest Common Factor

We found the factors 711,8370 . The biggest common factor number is the GCF number.
So the greatest common factor 711,8370 is 9.


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 6733/711, 5514/8370

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 6733/711, 5514/8370?

Answer: LCM of Numerators as per given numbers 6733/711, 5514/8370 is

LCM of Numerators i.e. for 6733,5514 is 37125762

GCF of denominators i.e. for 711,8370 is 9.

Thus, LCM of Fractions is 37125762/9.Finally, LCM of Fractions for 6733/711, 5514/8370 is 37125762/9.