Least Common Multiple of 2014/423, 1226/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2014/423, 1226/235 quickly i.e. 1234582/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2014/423, 1226/235 is 1234582/47.

LCM(2014/423, 1226/235) = 1234582/47

LCM of 2014/423, 1226/235

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 2014/423,1226/235

Given numbers are 2014/423,1226/235

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 2014,1226

Least Common Multiple of Numerators i.e. LCM of 2014,1226 is 1234582.

GCF of Denominators means GCF of 423,235 as per the given fractions.

GCF of 423,235 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2014,1226

LCM of Fractions 2014/423,1226/235 is 1234582/47

2 2014, 1226
1007, 613

∴ So the LCM of the given numbers is 2 x 1007 x 613 = 1234582

Least Common Multiple of 2014,1226 with GCF Formula

Least Common Multiple of 2014,1226 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 2014,1226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2014,1226) = 2

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

GCF(2014,1226) x common factors =2 x 1 = 2

LCM(2014,1226) = ( 2014 × 1226 ) / 2

LCM(2014,1226) = 2469164 / 2

LCM(2014,1226) = 1234582


Lets's calculate GCF of 423,235

47 423, 235
9, 5

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1234582/47

Therefore the LCM of Fractions 2014/423,1226/235 is 1234582/47

Greatest Common Factor of 423,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,235 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 423,235 . The biggest common factor number is the GCF number.
So the greatest common factor 423,235 is 47.


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 2014/423, 1226/235

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 2014/423, 1226/235?

Answer: LCM of Numerators as per given numbers 2014/423, 1226/235 is

LCM of Numerators i.e. for 2014,1226 is 1234582

GCF of denominators i.e. for 423,235 is 47.

Thus, LCM of Fractions is 1234582/47.Finally, LCM of Fractions for 2014/423, 1226/235 is 1234582/47.