Least Common Multiple of 614/186, 1176/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/186, 1176/652 quickly i.e. 180516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/186, 1176/652 is 180516.

LCM(614/186, 1176/652) = 180516

LCM of 614/186, 1176/652

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 614/186,1176/652

Given numbers are 614/186,1176/652

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 614,1176

Least Common Multiple of Numerators i.e. LCM of 614,1176 is 361032.

GCF of Denominators means GCF of 186,652 as per the given fractions.

GCF of 186,652 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,1176

LCM of Fractions 614/186,1176/652 is 180516

2 614, 1176
307, 588

∴ So the LCM of the given numbers is 2 x 307 x 588 = 361032

Least Common Multiple of 614,1176 with GCF Formula

Least Common Multiple of 614,1176 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 614,1176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,1176) = 2

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

GCF(614,1176) x common factors =2 x 1 = 2

LCM(614,1176) = ( 614 × 1176 ) / 2

LCM(614,1176) = 722064 / 2

LCM(614,1176) = 361032


Lets's calculate GCF of 186,652

2 186, 652
93, 326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361032/2

Therefore the LCM of Fractions 614/186,1176/652 is 180516

Greatest Common Factor of 186,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,652 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 186,652 . The biggest common factor number is the GCF number.
So the greatest common factor 186,652 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 614/186, 1176/652

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 614/186, 1176/652?

Answer: LCM of Numerators as per given numbers 614/186, 1176/652 is

LCM of Numerators i.e. for 614,1176 is 361032

GCF of denominators i.e. for 186,652 is 2.

Thus, LCM of Fractions is 180516.Finally, LCM of Fractions for 614/186, 1176/652 is 180516.