Least Common Multiple of 471/735, 222/871, 716/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 471/735, 222/871, 716/828 quickly i.e. 12477732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 471/735, 222/871, 716/828 is 12477732.

LCM(471/735, 222/871, 716/828) = 12477732

LCM of 471/735, 222/871, 716/828

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 471/735,222/871,716/828

Given numbers are 471/735,222/871,716/828

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 471,222,716

Least Common Multiple of Numerators i.e. LCM of 471,222,716 is 12477732.

GCF of Denominators means GCF of 735,871,828 as per the given fractions.

GCF of 735,871,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 471,222,716

LCM of Fractions 471/735,222/871,716/828 is 12477732

2 471, 222, 716
3 471, 111, 358
157, 37, 358

∴ So the LCM of the given numbers is 2 x 3 x 157 x 37 x 358 = 12477732

Least Common Multiple of 471,222,716 with GCF Formula

Least Common Multiple of 471,222,716 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 471,222,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,222,716) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(471,222,716) x common factors =1 x 6 = 6

LCM(471,222,716) = ( 471 × 222 × 716 ) / 6

LCM(471,222,716) = 74866392 / 6

LCM(471,222,716) = 12477732


Lets's calculate GCF of 735,871,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12477732/1

Therefore the LCM of Fractions 471/735,222/871,716/828 is 12477732

Greatest Common Factor of 735,871,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,871,828 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 735,871,828 . The biggest common factor number is the GCF number.
So the greatest common factor 735,871,828 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 471/735, 222/871, 716/828

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 471/735, 222/871, 716/828?

Answer: LCM of Numerators as per given numbers 471/735, 222/871, 716/828 is

LCM of Numerators i.e. for 471,222,716 is 12477732

GCF of denominators i.e. for 735,871,828 is 1.

Thus, LCM of Fractions is 12477732.Finally, LCM of Fractions for 471/735, 222/871, 716/828 is 12477732.