Least Common Multiple of 8369/383, 6835/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8369/383, 6835/766 quickly i.e. 57202115/383 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8369/383, 6835/766 is 57202115/383.

LCM(8369/383, 6835/766) = 57202115/383

LCM of 8369/383, 6835/766

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 8369/383,6835/766

Given numbers are 8369/383,6835/766

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 8369,6835

Least Common Multiple of Numerators i.e. LCM of 8369,6835 is 57202115.

GCF of Denominators means GCF of 383,766 as per the given fractions.

GCF of 383,766 is 383 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8369,6835

LCM of Fractions 8369/383,6835/766 is 57202115/383

Given numbers has no common factors except 1. So, there LCM is their product i.e 57202115

Least Common Multiple of 8369,6835 with GCF Formula

Least Common Multiple of 8369,6835 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 8369,6835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8369,6835) = 1

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

GCF(8369,6835) x common factors =1 x 1 = 1

LCM(8369,6835) = ( 8369 × 6835 ) / 1

LCM(8369,6835) = 57202115 / 1

LCM(8369,6835) = 57202115


Lets's calculate GCF of 383,766

383 383, 766
1, 2

∴ So the GCF of the given numbers is 383 = 383

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57202115/383

Therefore the LCM of Fractions 8369/383,6835/766 is 57202115/383

Greatest Common Factor of 383,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 383,766 By Matching Biggest Common Factor Method

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 383,766 . The biggest common factor number is the GCF number.
So the greatest common factor 383,766 is 383.


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 8369/383, 6835/766

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 8369/383, 6835/766?

Answer: LCM of Numerators as per given numbers 8369/383, 6835/766 is

LCM of Numerators i.e. for 8369,6835 is 57202115

GCF of denominators i.e. for 383,766 is 383.

Thus, LCM of Fractions is 57202115/383.Finally, LCM of Fractions for 8369/383, 6835/766 is 57202115/383.