Least Common Multiple of 6805/517, 5297/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6805/517, 5297/376 quickly i.e. 36046085/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6805/517, 5297/376 is 36046085/47.

LCM(6805/517, 5297/376) = 36046085/47

LCM of 6805/517, 5297/376

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 6805/517,5297/376

Given numbers are 6805/517,5297/376

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 6805,5297

Least Common Multiple of Numerators i.e. LCM of 6805,5297 is 36046085.

GCF of Denominators means GCF of 517,376 as per the given fractions.

GCF of 517,376 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6805,5297

LCM of Fractions 6805/517,5297/376 is 36046085/47

Given numbers has no common factors except 1. So, there LCM is their product i.e 36046085

Least Common Multiple of 6805,5297 with GCF Formula

Least Common Multiple of 6805,5297 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 6805,5297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6805,5297) = 1

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

GCF(6805,5297) x common factors =1 x 1 = 1

LCM(6805,5297) = ( 6805 × 5297 ) / 1

LCM(6805,5297) = 36046085 / 1

LCM(6805,5297) = 36046085


Lets's calculate GCF of 517,376

47 517, 376
11, 8

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36046085/47

Therefore the LCM of Fractions 6805/517,5297/376 is 36046085/47

Greatest Common Factor of 517,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,376 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 517,376 . The biggest common factor number is the GCF number.
So the greatest common factor 517,376 is 47.


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 6805/517, 5297/376

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 6805/517, 5297/376?

Answer: LCM of Numerators as per given numbers 6805/517, 5297/376 is

LCM of Numerators i.e. for 6805,5297 is 36046085

GCF of denominators i.e. for 517,376 is 47.

Thus, LCM of Fractions is 36046085/47.Finally, LCM of Fractions for 6805/517, 5297/376 is 36046085/47.