Least Common Multiple of 3046/113, 2176/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3046/113, 2176/208 quickly i.e. 3314048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3046/113, 2176/208 is 3314048.

LCM(3046/113, 2176/208) = 3314048

LCM of 3046/113, 2176/208

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 3046/113,2176/208

Given numbers are 3046/113,2176/208

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 3046,2176

Least Common Multiple of Numerators i.e. LCM of 3046,2176 is 3314048.

GCF of Denominators means GCF of 113,208 as per the given fractions.

GCF of 113,208 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3046,2176

LCM of Fractions 3046/113,2176/208 is 3314048

2 3046, 2176
1523, 1088

∴ So the LCM of the given numbers is 2 x 1523 x 1088 = 3314048

Least Common Multiple of 3046,2176 with GCF Formula

Least Common Multiple of 3046,2176 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 3046,2176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3046,2176) = 2

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

GCF(3046,2176) x common factors =2 x 1 = 2

LCM(3046,2176) = ( 3046 × 2176 ) / 2

LCM(3046,2176) = 6628096 / 2

LCM(3046,2176) = 3314048


Lets's calculate GCF of 113,208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3314048/1

Therefore the LCM of Fractions 3046/113,2176/208 is 3314048

Greatest Common Factor of 113,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,208 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 113,208 . The biggest common factor number is the GCF number.
So the greatest common factor 113,208 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 3046/113, 2176/208

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 3046/113, 2176/208?

Answer: LCM of Numerators as per given numbers 3046/113, 2176/208 is

LCM of Numerators i.e. for 3046,2176 is 3314048

GCF of denominators i.e. for 113,208 is 1.

Thus, LCM of Fractions is 3314048.Finally, LCM of Fractions for 3046/113, 2176/208 is 3314048.