Least Common Multiple of 500/263, 182/128, 211/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/263, 182/128, 211/528 quickly i.e. 9600500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/263, 182/128, 211/528 is 9600500.

LCM(500/263, 182/128, 211/528) = 9600500

LCM of 500/263, 182/128, 211/528

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 500/263,182/128,211/528

Given numbers are 500/263,182/128,211/528

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 500,182,211

Least Common Multiple of Numerators i.e. LCM of 500,182,211 is 9600500.

GCF of Denominators means GCF of 263,128,528 as per the given fractions.

GCF of 263,128,528 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,182,211

LCM of Fractions 500/263,182/128,211/528 is 9600500

2 500, 182, 211
250, 91, 211

∴ So the LCM of the given numbers is 2 x 250 x 91 x 211 = 9600500

Least Common Multiple of 500,182,211 with GCF Formula

Least Common Multiple of 500,182,211 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 500,182,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,182,211) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(500,182,211) x common factors =1 x 2 = 2

LCM(500,182,211) = ( 500 × 182 × 211 ) / 2

LCM(500,182,211) = 19201000 / 2

LCM(500,182,211) = 9600500


Lets's calculate GCF of 263,128,528

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9600500/1

Therefore the LCM of Fractions 500/263,182/128,211/528 is 9600500

Greatest Common Factor of 263,128,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,128,528 By Matching Biggest Common Factor Method

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 263,128,528 . The biggest common factor number is the GCF number.
So the greatest common factor 263,128,528 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 500/263, 182/128, 211/528

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 500/263, 182/128, 211/528?

Answer: LCM of Numerators as per given numbers 500/263, 182/128, 211/528 is

LCM of Numerators i.e. for 500,182,211 is 9600500

GCF of denominators i.e. for 263,128,528 is 1.

Thus, LCM of Fractions is 9600500.Finally, LCM of Fractions for 500/263, 182/128, 211/528 is 9600500.