Least Common Multiple of 447/356, 842/144, 252/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 447/356, 842/144, 252/894 quickly i.e. 7903854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 447/356, 842/144, 252/894 is 7903854.

LCM(447/356, 842/144, 252/894) = 7903854

LCM of 447/356, 842/144, 252/894

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 447/356,842/144,252/894

Given numbers are 447/356,842/144,252/894

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 447,842,252

Least Common Multiple of Numerators i.e. LCM of 447,842,252 is 15807708.

GCF of Denominators means GCF of 356,144,894 as per the given fractions.

GCF of 356,144,894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 447,842,252

LCM of Fractions 447/356,842/144,252/894 is 7903854

2 447, 842, 252
3 447, 421, 126
149, 421, 42

∴ So the LCM of the given numbers is 2 x 3 x 149 x 421 x 42 = 15807708

Least Common Multiple of 447,842,252 with GCF Formula

Least Common Multiple of 447,842,252 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 447,842,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,842,252) = 1

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

GCF(447,842,252) x common factors =1 x 6 = 6

LCM(447,842,252) = ( 447 × 842 × 252 ) / 6

LCM(447,842,252) = 94846248 / 6

LCM(447,842,252) = 15807708


Lets's calculate GCF of 356,144,894

2 356, 144, 894
178, 72, 447

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15807708/2

Therefore the LCM of Fractions 447/356,842/144,252/894 is 7903854

Greatest Common Factor of 356,144,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,144,894 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 356,144,894 . The biggest common factor number is the GCF number.
So the greatest common factor 356,144,894 is 2.


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 447/356, 842/144, 252/894

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 447/356, 842/144, 252/894?

Answer: LCM of Numerators as per given numbers 447/356, 842/144, 252/894 is

LCM of Numerators i.e. for 447,842,252 is 15807708

GCF of denominators i.e. for 356,144,894 is 2.

Thus, LCM of Fractions is 7903854.Finally, LCM of Fractions for 447/356, 842/144, 252/894 is 7903854.