Least Common Multiple of 293/731, 838/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 293/731, 838/258 quickly i.e. 245534/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/731, 838/258 is 245534/43.

LCM(293/731, 838/258) = 245534/43

LCM of 293/731, 838/258

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 293/731,838/258

Given numbers are 293/731,838/258

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 293,838

Least Common Multiple of Numerators i.e. LCM of 293,838 is 245534.

GCF of Denominators means GCF of 731,258 as per the given fractions.

GCF of 731,258 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,838

LCM of Fractions 293/731,838/258 is 245534/43

Given numbers has no common factors except 1. So, there LCM is their product i.e 245534

Least Common Multiple of 293,838 with GCF Formula

Least Common Multiple of 293,838 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 293,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,838) = 1

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

GCF(293,838) x common factors =1 x 1 = 1

LCM(293,838) = ( 293 × 838 ) / 1

LCM(293,838) = 245534 / 1

LCM(293,838) = 245534


Lets's calculate GCF of 731,258

43 731, 258
17, 6

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245534/43

Therefore the LCM of Fractions 293/731,838/258 is 245534/43

Greatest Common Factor of 731,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,258 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 731,258 . The biggest common factor number is the GCF number.
So the greatest common factor 731,258 is 43.


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 293/731, 838/258

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 293/731, 838/258?

Answer: LCM of Numerators as per given numbers 293/731, 838/258 is

LCM of Numerators i.e. for 293,838 is 245534

GCF of denominators i.e. for 731,258 is 43.

Thus, LCM of Fractions is 245534/43.Finally, LCM of Fractions for 293/731, 838/258 is 245534/43.