Least Common Multiple of 29/443, 506/909, 475/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/443, 506/909, 475/100 quickly i.e. 6970150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/443, 506/909, 475/100 is 6970150.

LCM(29/443, 506/909, 475/100) = 6970150

LCM of 29/443, 506/909, 475/100

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 29/443,506/909,475/100

Given numbers are 29/443,506/909,475/100

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 29,506,475

Least Common Multiple of Numerators i.e. LCM of 29,506,475 is 6970150.

GCF of Denominators means GCF of 443,909,100 as per the given fractions.

GCF of 443,909,100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,506,475

LCM of Fractions 29/443,506/909,475/100 is 6970150

Given numbers has no common factors except 1. So, there LCM is their product i.e 6970150

Least Common Multiple of 29,506,475 with GCF Formula

Least Common Multiple of 29,506,475 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 29,506,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,506,475) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,506,475) x common factors =1 x 1 = 1

LCM(29,506,475) = ( 29 × 506 × 475 ) / 1

LCM(29,506,475) = 6970150 / 1

LCM(29,506,475) = 6970150


Lets's calculate GCF of 443,909,100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6970150/1

Therefore the LCM of Fractions 29/443,506/909,475/100 is 6970150

Greatest Common Factor of 443,909,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,909,100 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 443,909,100 . The biggest common factor number is the GCF number.
So the greatest common factor 443,909,100 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 29/443, 506/909, 475/100

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 29/443, 506/909, 475/100?

Answer: LCM of Numerators as per given numbers 29/443, 506/909, 475/100 is

LCM of Numerators i.e. for 29,506,475 is 6970150

GCF of denominators i.e. for 443,909,100 is 1.

Thus, LCM of Fractions is 6970150.Finally, LCM of Fractions for 29/443, 506/909, 475/100 is 6970150.