Least Common Multiple of 228/46, 196/9310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/46, 196/9310 quickly i.e. 5586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/46, 196/9310 is 5586.

LCM(228/46, 196/9310) = 5586

LCM of 228/46, 196/9310

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 228/46,196/9310

Given numbers are 228/46,196/9310

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 228,196

Least Common Multiple of Numerators i.e. LCM of 228,196 is 11172.

GCF of Denominators means GCF of 46,9310 as per the given fractions.

GCF of 46,9310 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,196

LCM of Fractions 228/46,196/9310 is 5586

2 228, 196
2 114, 98
57, 49

∴ So the LCM of the given numbers is 2 x 2 x 57 x 49 = 11172

Least Common Multiple of 228,196 with GCF Formula

Least Common Multiple of 228,196 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 228,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,196) = 4

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

GCF(228,196) x common factors =4 x 1 = 4

LCM(228,196) = ( 228 × 196 ) / 4

LCM(228,196) = 44688 / 4

LCM(228,196) = 11172


Lets's calculate GCF of 46,9310

2 46, 9310
23, 4655

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11172/2

Therefore the LCM of Fractions 228/46,196/9310 is 5586

Greatest Common Factor of 46,9310 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,9310 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 9310

List of positive integer factors of 9310 that divides 9310 without a remainder.

1,2,5,7,10,14,19,35,38,49,70,95,98,133,190,245,266,490,665,931,1330,1862,4655,9310

Greatest Common Factor

We found the factors 46,9310 . The biggest common factor number is the GCF number.
So the greatest common factor 46,9310 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 228/46, 196/9310

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 228/46, 196/9310?

Answer: LCM of Numerators as per given numbers 228/46, 196/9310 is

LCM of Numerators i.e. for 228,196 is 11172

GCF of denominators i.e. for 46,9310 is 2.

Thus, LCM of Fractions is 5586.Finally, LCM of Fractions for 228/46, 196/9310 is 5586.