Least Common Multiple of 266/52, 532/19, 329/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 266/52, 532/19, 329/334 quickly i.e. 25004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 266/52, 532/19, 329/334 is 25004.

LCM(266/52, 532/19, 329/334) = 25004

LCM of 266/52, 532/19, 329/334

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 266/52,532/19,329/334

Given numbers are 266/52,532/19,329/334

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 266,532,329

Least Common Multiple of Numerators i.e. LCM of 266,532,329 is 25004.

GCF of Denominators means GCF of 52,19,334 as per the given fractions.

GCF of 52,19,334 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 266,532,329

LCM of Fractions 266/52,532/19,329/334 is 25004

2 266, 532, 329
7 133, 266, 329
19 19, 38, 47
1, 2, 47

∴ So the LCM of the given numbers is 2 x 7 x 19 x 1 x 2 x 47 = 25004

Least Common Multiple of 266,532,329 with GCF Formula

Least Common Multiple of 266,532,329 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 266,532,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,532,329) = 7

common factors(in case of two or more numbers have common factors) = 266

GCF(266,532,329) x common factors =7 x 266 = 1862

LCM(266,532,329) = ( 266 × 532 × 329 ) / 1862

LCM(266,532,329) = 46557448 / 1862

LCM(266,532,329) = 25004


Lets's calculate GCF of 52,19,334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25004/1

Therefore the LCM of Fractions 266/52,532/19,329/334 is 25004

Greatest Common Factor of 52,19,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,19,334 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 52,19,334 . The biggest common factor number is the GCF number.
So the greatest common factor 52,19,334 is 1.


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 266/52, 532/19, 329/334

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 266/52, 532/19, 329/334?

Answer: LCM of Numerators as per given numbers 266/52, 532/19, 329/334 is

LCM of Numerators i.e. for 266,532,329 is 25004

GCF of denominators i.e. for 52,19,334 is 1.

Thus, LCM of Fractions is 25004.Finally, LCM of Fractions for 266/52, 532/19, 329/334 is 25004.