Least Common Multiple of 783/908, 3647/6668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 783/908, 3647/6668 quickly i.e. 2855601/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 783/908, 3647/6668 is 2855601/4.

LCM(783/908, 3647/6668) = 2855601/4

LCM of 783/908, 3647/6668

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 783/908,3647/6668

Given numbers are 783/908,3647/6668

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 783,3647

Least Common Multiple of Numerators i.e. LCM of 783,3647 is 2855601.

GCF of Denominators means GCF of 908,6668 as per the given fractions.

GCF of 908,6668 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 783,3647

LCM of Fractions 783/908,3647/6668 is 2855601/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 2855601

Least Common Multiple of 783,3647 with GCF Formula

Least Common Multiple of 783,3647 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 783,3647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,3647) = 1

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

GCF(783,3647) x common factors =1 x 1 = 1

LCM(783,3647) = ( 783 × 3647 ) / 1

LCM(783,3647) = 2855601 / 1

LCM(783,3647) = 2855601


Lets's calculate GCF of 908,6668

2 908, 6668
2 454, 3334
227, 1667

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2855601/4

Therefore the LCM of Fractions 783/908,3647/6668 is 2855601/4

Greatest Common Factor of 908,6668 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,6668 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 6668

List of positive integer factors of 6668 that divides 6668 without a remainder.

1,2,4,1667,3334,6668

Greatest Common Factor

We found the factors 908,6668 . The biggest common factor number is the GCF number.
So the greatest common factor 908,6668 is 4.


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 783/908, 3647/6668

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 783/908, 3647/6668?

Answer: LCM of Numerators as per given numbers 783/908, 3647/6668 is

LCM of Numerators i.e. for 783,3647 is 2855601

GCF of denominators i.e. for 908,6668 is 4.

Thus, LCM of Fractions is 2855601/4.Finally, LCM of Fractions for 783/908, 3647/6668 is 2855601/4.