Least Common Multiple of 3146/230, 8984/2944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3146/230, 8984/2944 quickly i.e. 14131832/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3146/230, 8984/2944 is 14131832/46.

LCM(3146/230, 8984/2944) = 14131832/46

LCM of 3146/230, 8984/2944

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 3146/230,8984/2944

Given numbers are 3146/230,8984/2944

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 3146,8984

Least Common Multiple of Numerators i.e. LCM of 3146,8984 is 14131832.

GCF of Denominators means GCF of 230,2944 as per the given fractions.

GCF of 230,2944 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3146,8984

LCM of Fractions 3146/230,8984/2944 is 14131832/46

2 3146, 8984
1573, 4492

∴ So the LCM of the given numbers is 2 x 1573 x 4492 = 14131832

Least Common Multiple of 3146,8984 with GCF Formula

Least Common Multiple of 3146,8984 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 3146,8984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3146,8984) = 2

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

GCF(3146,8984) x common factors =2 x 1 = 2

LCM(3146,8984) = ( 3146 × 8984 ) / 2

LCM(3146,8984) = 28263664 / 2

LCM(3146,8984) = 14131832


Lets's calculate GCF of 230,2944

2 230, 2944
23 115, 1472
5, 64

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14131832/46

Therefore the LCM of Fractions 3146/230,8984/2944 is 14131832/46

Greatest Common Factor of 230,2944 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,2944 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 2944

List of positive integer factors of 2944 that divides 2944 without a remainder.

1,2,4,8,16,23,32,46,64,92,128,184,368,736,1472,2944

Greatest Common Factor

We found the factors 230,2944 . The biggest common factor number is the GCF number.
So the greatest common factor 230,2944 is 46.


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 3146/230, 8984/2944

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 3146/230, 8984/2944?

Answer: LCM of Numerators as per given numbers 3146/230, 8984/2944 is

LCM of Numerators i.e. for 3146,8984 is 14131832

GCF of denominators i.e. for 230,2944 is 46.

Thus, LCM of Fractions is 14131832/46.Finally, LCM of Fractions for 3146/230, 8984/2944 is 14131832/46.