Least Common Multiple of 293/51, 706/5139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 293/51, 706/5139 quickly i.e. 206858/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/51, 706/5139 is 206858/3.

LCM(293/51, 706/5139) = 206858/3

LCM of 293/51, 706/5139

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 293/51,706/5139

Given numbers are 293/51,706/5139

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 293,706

Least Common Multiple of Numerators i.e. LCM of 293,706 is 206858.

GCF of Denominators means GCF of 51,5139 as per the given fractions.

GCF of 51,5139 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,706

LCM of Fractions 293/51,706/5139 is 206858/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 206858

Least Common Multiple of 293,706 with GCF Formula

Least Common Multiple of 293,706 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 293,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,706) = 1

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

GCF(293,706) x common factors =1 x 1 = 1

LCM(293,706) = ( 293 × 706 ) / 1

LCM(293,706) = 206858 / 1

LCM(293,706) = 206858


Lets's calculate GCF of 51,5139

3 51, 5139
17, 1713

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206858/3

Therefore the LCM of Fractions 293/51,706/5139 is 206858/3

Greatest Common Factor of 51,5139 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,5139 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 5139

List of positive integer factors of 5139 that divides 5139 without a remainder.

1,3,9,571,1713,5139

Greatest Common Factor

We found the factors 51,5139 . The biggest common factor number is the GCF number.
So the greatest common factor 51,5139 is 3.


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 293/51, 706/5139

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 293/51, 706/5139?

Answer: LCM of Numerators as per given numbers 293/51, 706/5139 is

LCM of Numerators i.e. for 293,706 is 206858

GCF of denominators i.e. for 51,5139 is 3.

Thus, LCM of Fractions is 206858/3.Finally, LCM of Fractions for 293/51, 706/5139 is 206858/3.