Least Common Multiple of 388/766, 3446/1147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 388/766, 3446/1147 quickly i.e. 668524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 388/766, 3446/1147 is 668524.

LCM(388/766, 3446/1147) = 668524

LCM of 388/766, 3446/1147

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 388/766,3446/1147

Given numbers are 388/766,3446/1147

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 388,3446

Least Common Multiple of Numerators i.e. LCM of 388,3446 is 668524.

GCF of Denominators means GCF of 766,1147 as per the given fractions.

GCF of 766,1147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 388,3446

LCM of Fractions 388/766,3446/1147 is 668524

2 388, 3446
194, 1723

∴ So the LCM of the given numbers is 2 x 194 x 1723 = 668524

Least Common Multiple of 388,3446 with GCF Formula

Least Common Multiple of 388,3446 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 388,3446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,3446) = 2

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

GCF(388,3446) x common factors =2 x 1 = 2

LCM(388,3446) = ( 388 × 3446 ) / 2

LCM(388,3446) = 1337048 / 2

LCM(388,3446) = 668524


Lets's calculate GCF of 766,1147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 668524/1

Therefore the LCM of Fractions 388/766,3446/1147 is 668524

Greatest Common Factor of 766,1147 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,1147 By Matching Biggest Common Factor Method

Factors of 766

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

1,2,383,766

Factors of 1147

List of positive integer factors of 1147 that divides 1147 without a remainder.

1,31,37,1147

Greatest Common Factor

We found the factors 766,1147 . The biggest common factor number is the GCF number.
So the greatest common factor 766,1147 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 388/766, 3446/1147

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 388/766, 3446/1147?

Answer: LCM of Numerators as per given numbers 388/766, 3446/1147 is

LCM of Numerators i.e. for 388,3446 is 668524

GCF of denominators i.e. for 766,1147 is 1.

Thus, LCM of Fractions is 668524.Finally, LCM of Fractions for 388/766, 3446/1147 is 668524.