Least Common Multiple of 5239/706, 2673/3827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5239/706, 2673/3827 quickly i.e. 14003847 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5239/706, 2673/3827 is 14003847.

LCM(5239/706, 2673/3827) = 14003847

LCM of 5239/706, 2673/3827

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 5239/706,2673/3827

Given numbers are 5239/706,2673/3827

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 5239,2673

Least Common Multiple of Numerators i.e. LCM of 5239,2673 is 14003847.

GCF of Denominators means GCF of 706,3827 as per the given fractions.

GCF of 706,3827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5239,2673

LCM of Fractions 5239/706,2673/3827 is 14003847

Given numbers has no common factors except 1. So, there LCM is their product i.e 14003847

Least Common Multiple of 5239,2673 with GCF Formula

Least Common Multiple of 5239,2673 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 5239,2673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5239,2673) = 1

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

GCF(5239,2673) x common factors =1 x 1 = 1

LCM(5239,2673) = ( 5239 × 2673 ) / 1

LCM(5239,2673) = 14003847 / 1

LCM(5239,2673) = 14003847


Lets's calculate GCF of 706,3827

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14003847/1

Therefore the LCM of Fractions 5239/706,2673/3827 is 14003847

Greatest Common Factor of 706,3827 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,3827 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 3827

List of positive integer factors of 3827 that divides 3827 without a remainder.

1,43,89,3827

Greatest Common Factor

We found the factors 706,3827 . The biggest common factor number is the GCF number.
So the greatest common factor 706,3827 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5239/706, 2673/3827

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 5239/706, 2673/3827?

Answer: LCM of Numerators as per given numbers 5239/706, 2673/3827 is

LCM of Numerators i.e. for 5239,2673 is 14003847

GCF of denominators i.e. for 706,3827 is 1.

Thus, LCM of Fractions is 14003847.Finally, LCM of Fractions for 5239/706, 2673/3827 is 14003847.