Least Common Multiple of 758/678, 3228/2338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 758/678, 3228/2338 quickly i.e. 611706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 758/678, 3228/2338 is 611706.

LCM(758/678, 3228/2338) = 611706

LCM of 758/678, 3228/2338

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 758/678,3228/2338

Given numbers are 758/678,3228/2338

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 758,3228

Least Common Multiple of Numerators i.e. LCM of 758,3228 is 1223412.

GCF of Denominators means GCF of 678,2338 as per the given fractions.

GCF of 678,2338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 758,3228

LCM of Fractions 758/678,3228/2338 is 611706

2 758, 3228
379, 1614

∴ So the LCM of the given numbers is 2 x 379 x 1614 = 1223412

Least Common Multiple of 758,3228 with GCF Formula

Least Common Multiple of 758,3228 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 758,3228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,3228) = 2

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

GCF(758,3228) x common factors =2 x 1 = 2

LCM(758,3228) = ( 758 × 3228 ) / 2

LCM(758,3228) = 2446824 / 2

LCM(758,3228) = 1223412


Lets's calculate GCF of 678,2338

2 678, 2338
339, 1169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1223412/2

Therefore the LCM of Fractions 758/678,3228/2338 is 611706

Greatest Common Factor of 678,2338 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,2338 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 2338

List of positive integer factors of 2338 that divides 2338 without a remainder.

1,2,7,14,167,334,1169,2338

Greatest Common Factor

We found the factors 678,2338 . The biggest common factor number is the GCF number.
So the greatest common factor 678,2338 is 2.


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 758/678, 3228/2338

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 758/678, 3228/2338?

Answer: LCM of Numerators as per given numbers 758/678, 3228/2338 is

LCM of Numerators i.e. for 758,3228 is 1223412

GCF of denominators i.e. for 678,2338 is 2.

Thus, LCM of Fractions is 611706.Finally, LCM of Fractions for 758/678, 3228/2338 is 611706.