Least Common Multiple of 7683/346, 3641/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7683/346, 3641/105 quickly i.e. 27973803 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7683/346, 3641/105 is 27973803.

LCM(7683/346, 3641/105) = 27973803

LCM of 7683/346, 3641/105

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 7683/346,3641/105

Given numbers are 7683/346,3641/105

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 7683,3641

Least Common Multiple of Numerators i.e. LCM of 7683,3641 is 27973803.

GCF of Denominators means GCF of 346,105 as per the given fractions.

GCF of 346,105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7683,3641

LCM of Fractions 7683/346,3641/105 is 27973803

Given numbers has no common factors except 1. So, there LCM is their product i.e 27973803

Least Common Multiple of 7683,3641 with GCF Formula

Least Common Multiple of 7683,3641 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 7683,3641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7683,3641) = 1

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

GCF(7683,3641) x common factors =1 x 1 = 1

LCM(7683,3641) = ( 7683 × 3641 ) / 1

LCM(7683,3641) = 27973803 / 1

LCM(7683,3641) = 27973803


Lets's calculate GCF of 346,105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27973803/1

Therefore the LCM of Fractions 7683/346,3641/105 is 27973803

Greatest Common Factor of 346,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,105 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 346,105 . The biggest common factor number is the GCF number.
So the greatest common factor 346,105 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 7683/346, 3641/105

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 7683/346, 3641/105?

Answer: LCM of Numerators as per given numbers 7683/346, 3641/105 is

LCM of Numerators i.e. for 7683,3641 is 27973803

GCF of denominators i.e. for 346,105 is 1.

Thus, LCM of Fractions is 27973803.Finally, LCM of Fractions for 7683/346, 3641/105 is 27973803.