Least Common Multiple of 449/54, 105/87, 211/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 449/54, 105/87, 211/429 quickly i.e. 3315865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/54, 105/87, 211/429 is 3315865.

LCM(449/54, 105/87, 211/429) = 3315865

LCM of 449/54, 105/87, 211/429

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 449/54,105/87,211/429

Given numbers are 449/54,105/87,211/429

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 449,105,211

Least Common Multiple of Numerators i.e. LCM of 449,105,211 is 9947595.

GCF of Denominators means GCF of 54,87,429 as per the given fractions.

GCF of 54,87,429 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,105,211

LCM of Fractions 449/54,105/87,211/429 is 3315865

Given numbers has no common factors except 1. So, there LCM is their product i.e 9947595

Least Common Multiple of 449,105,211 with GCF Formula

Least Common Multiple of 449,105,211 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 449,105,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,105,211) = 1

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

GCF(449,105,211) x common factors =1 x 1 = 1

LCM(449,105,211) = ( 449 × 105 × 211 ) / 1

LCM(449,105,211) = 9947595 / 1

LCM(449,105,211) = 9947595


Lets's calculate GCF of 54,87,429

3 54, 87, 429
18, 29, 143

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9947595/3

Therefore the LCM of Fractions 449/54,105/87,211/429 is 3315865

Greatest Common Factor of 54,87,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,87,429 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 54,87,429 . The biggest common factor number is the GCF number.
So the greatest common factor 54,87,429 is 3.


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 449/54, 105/87, 211/429

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 449/54, 105/87, 211/429?

Answer: LCM of Numerators as per given numbers 449/54, 105/87, 211/429 is

LCM of Numerators i.e. for 449,105,211 is 9947595

GCF of denominators i.e. for 54,87,429 is 3.

Thus, LCM of Fractions is 3315865.Finally, LCM of Fractions for 449/54, 105/87, 211/429 is 3315865.