Least Common Multiple of 768/236, 3586/8397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/236, 3586/8397 quickly i.e. 1377024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/236, 3586/8397 is 1377024.

LCM(768/236, 3586/8397) = 1377024

LCM of 768/236, 3586/8397

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 768/236,3586/8397

Given numbers are 768/236,3586/8397

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 768,3586

Least Common Multiple of Numerators i.e. LCM of 768,3586 is 1377024.

GCF of Denominators means GCF of 236,8397 as per the given fractions.

GCF of 236,8397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,3586

LCM of Fractions 768/236,3586/8397 is 1377024

2 768, 3586
384, 1793

∴ So the LCM of the given numbers is 2 x 384 x 1793 = 1377024

Least Common Multiple of 768,3586 with GCF Formula

Least Common Multiple of 768,3586 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 768,3586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,3586) = 2

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

GCF(768,3586) x common factors =2 x 1 = 2

LCM(768,3586) = ( 768 × 3586 ) / 2

LCM(768,3586) = 2754048 / 2

LCM(768,3586) = 1377024


Lets's calculate GCF of 236,8397

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1377024/1

Therefore the LCM of Fractions 768/236,3586/8397 is 1377024

Greatest Common Factor of 236,8397 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,8397 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 8397

List of positive integer factors of 8397 that divides 8397 without a remainder.

1,3,9,27,311,933,2799,8397

Greatest Common Factor

We found the factors 236,8397 . The biggest common factor number is the GCF number.
So the greatest common factor 236,8397 is 1.


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 768/236, 3586/8397

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 768/236, 3586/8397?

Answer: LCM of Numerators as per given numbers 768/236, 3586/8397 is

LCM of Numerators i.e. for 768,3586 is 1377024

GCF of denominators i.e. for 236,8397 is 1.

Thus, LCM of Fractions is 1377024.Finally, LCM of Fractions for 768/236, 3586/8397 is 1377024.