Least Common Multiple of 14/516, 276/14, 932/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/516, 276/14, 932/660 quickly i.e. 225078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/516, 276/14, 932/660 is 225078.

LCM(14/516, 276/14, 932/660) = 225078

LCM of 14/516, 276/14, 932/660

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 14/516,276/14,932/660

Given numbers are 14/516,276/14,932/660

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 14,276,932

Least Common Multiple of Numerators i.e. LCM of 14,276,932 is 450156.

GCF of Denominators means GCF of 516,14,660 as per the given fractions.

GCF of 516,14,660 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,276,932

LCM of Fractions 14/516,276/14,932/660 is 225078

2 14, 276, 932
2 7, 138, 466
7, 69, 233

∴ So the LCM of the given numbers is 2 x 2 x 7 x 69 x 233 = 450156

Least Common Multiple of 14,276,932 with GCF Formula

Least Common Multiple of 14,276,932 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 14,276,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,276,932) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(14,276,932) x common factors =2 x 4 = 8

LCM(14,276,932) = ( 14 × 276 × 932 ) / 8

LCM(14,276,932) = 3601248 / 8

LCM(14,276,932) = 450156


Lets's calculate GCF of 516,14,660

2 516, 14, 660
258, 7, 330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450156/2

Therefore the LCM of Fractions 14/516,276/14,932/660 is 225078

Greatest Common Factor of 516,14,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,14,660 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 516,14,660 . The biggest common factor number is the GCF number.
So the greatest common factor 516,14,660 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 14/516, 276/14, 932/660

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 14/516, 276/14, 932/660?

Answer: LCM of Numerators as per given numbers 14/516, 276/14, 932/660 is

LCM of Numerators i.e. for 14,276,932 is 450156

GCF of denominators i.e. for 516,14,660 is 2.

Thus, LCM of Fractions is 225078.Finally, LCM of Fractions for 14/516, 276/14, 932/660 is 225078.