Least Common Multiple of 706/538, 3986/7146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 706/538, 3986/7146 quickly i.e. 703529 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 706/538, 3986/7146 is 703529.

LCM(706/538, 3986/7146) = 703529

LCM of 706/538, 3986/7146

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 706/538,3986/7146

Given numbers are 706/538,3986/7146

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 706,3986

Least Common Multiple of Numerators i.e. LCM of 706,3986 is 1407058.

GCF of Denominators means GCF of 538,7146 as per the given fractions.

GCF of 538,7146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 706,3986

LCM of Fractions 706/538,3986/7146 is 703529

2 706, 3986
353, 1993

∴ So the LCM of the given numbers is 2 x 353 x 1993 = 1407058

Least Common Multiple of 706,3986 with GCF Formula

Least Common Multiple of 706,3986 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 706,3986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,3986) = 2

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

GCF(706,3986) x common factors =2 x 1 = 2

LCM(706,3986) = ( 706 × 3986 ) / 2

LCM(706,3986) = 2814116 / 2

LCM(706,3986) = 1407058


Lets's calculate GCF of 538,7146

2 538, 7146
269, 3573

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1407058/2

Therefore the LCM of Fractions 706/538,3986/7146 is 703529

Greatest Common Factor of 538,7146 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,7146 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 7146

List of positive integer factors of 7146 that divides 7146 without a remainder.

1,2,3,6,9,18,397,794,1191,2382,3573,7146

Greatest Common Factor

We found the factors 538,7146 . The biggest common factor number is the GCF number.
So the greatest common factor 538,7146 is 2.


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 706/538, 3986/7146

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 706/538, 3986/7146?

Answer: LCM of Numerators as per given numbers 706/538, 3986/7146 is

LCM of Numerators i.e. for 706,3986 is 1407058

GCF of denominators i.e. for 538,7146 is 2.

Thus, LCM of Fractions is 703529.Finally, LCM of Fractions for 706/538, 3986/7146 is 703529.