Least Common Multiple of 293/18, 5138/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 293/18, 5138/228 quickly i.e. 1505434/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/18, 5138/228 is 1505434/6.

LCM(293/18, 5138/228) = 1505434/6

LCM of 293/18, 5138/228

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 293/18,5138/228

Given numbers are 293/18,5138/228

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 293,5138

Least Common Multiple of Numerators i.e. LCM of 293,5138 is 1505434.

GCF of Denominators means GCF of 18,228 as per the given fractions.

GCF of 18,228 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,5138

LCM of Fractions 293/18,5138/228 is 1505434/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 1505434

Least Common Multiple of 293,5138 with GCF Formula

Least Common Multiple of 293,5138 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 293,5138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,5138) = 1

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

GCF(293,5138) x common factors =1 x 1 = 1

LCM(293,5138) = ( 293 × 5138 ) / 1

LCM(293,5138) = 1505434 / 1

LCM(293,5138) = 1505434


Lets's calculate GCF of 18,228

2 18, 228
3 9, 114
3, 38

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1505434/6

Therefore the LCM of Fractions 293/18,5138/228 is 1505434/6

Greatest Common Factor of 18,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,228 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 18,228 . The biggest common factor number is the GCF number.
So the greatest common factor 18,228 is 6.


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 293/18, 5138/228

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 293/18, 5138/228?

Answer: LCM of Numerators as per given numbers 293/18, 5138/228 is

LCM of Numerators i.e. for 293,5138 is 1505434

GCF of denominators i.e. for 18,228 is 6.

Thus, LCM of Fractions is 1505434/6.Finally, LCM of Fractions for 293/18, 5138/228 is 1505434/6.