Least Common Multiple of 471/522, 659/688, 465/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 471/522, 659/688, 465/223 quickly i.e. 48110295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 471/522, 659/688, 465/223 is 48110295.

LCM(471/522, 659/688, 465/223) = 48110295

LCM of 471/522, 659/688, 465/223

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 471/522,659/688,465/223

Given numbers are 471/522,659/688,465/223

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 471,659,465

Least Common Multiple of Numerators i.e. LCM of 471,659,465 is 48110295.

GCF of Denominators means GCF of 522,688,223 as per the given fractions.

GCF of 522,688,223 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 471,659,465

LCM of Fractions 471/522,659/688,465/223 is 48110295

3 471, 659, 465
157, 659, 155

∴ So the LCM of the given numbers is 3 x 157 x 659 x 155 = 48110295

Least Common Multiple of 471,659,465 with GCF Formula

Least Common Multiple of 471,659,465 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 471,659,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,659,465) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(471,659,465) x common factors =1 x 3 = 3

LCM(471,659,465) = ( 471 × 659 × 465 ) / 3

LCM(471,659,465) = 144330885 / 3

LCM(471,659,465) = 48110295


Lets's calculate GCF of 522,688,223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48110295/1

Therefore the LCM of Fractions 471/522,659/688,465/223 is 48110295

Greatest Common Factor of 522,688,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,688,223 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 522,688,223 . The biggest common factor number is the GCF number.
So the greatest common factor 522,688,223 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 471/522, 659/688, 465/223

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 471/522, 659/688, 465/223?

Answer: LCM of Numerators as per given numbers 471/522, 659/688, 465/223 is

LCM of Numerators i.e. for 471,659,465 is 48110295

GCF of denominators i.e. for 522,688,223 is 1.

Thus, LCM of Fractions is 48110295.Finally, LCM of Fractions for 471/522, 659/688, 465/223 is 48110295.