Least Common Multiple of 40/382, 50/262, 896/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/382, 50/262, 896/333 quickly i.e. 22400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/382, 50/262, 896/333 is 22400.

LCM(40/382, 50/262, 896/333) = 22400

LCM of 40/382, 50/262, 896/333

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 40/382,50/262,896/333

Given numbers are 40/382,50/262,896/333

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 40,50,896

Least Common Multiple of Numerators i.e. LCM of 40,50,896 is 22400.

GCF of Denominators means GCF of 382,262,333 as per the given fractions.

GCF of 382,262,333 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,50,896

LCM of Fractions 40/382,50/262,896/333 is 22400

2 40, 50, 896
2 20, 25, 448
2 10, 25, 224
5 5, 25, 112
1, 5, 112

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 5 x 112 = 22400

Least Common Multiple of 40,50,896 with GCF Formula

Least Common Multiple of 40,50,896 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 40,50,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,50,896) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(40,50,896) x common factors =2 x 40 = 80

LCM(40,50,896) = ( 40 × 50 × 896 ) / 80

LCM(40,50,896) = 1792000 / 80

LCM(40,50,896) = 22400


Lets's calculate GCF of 382,262,333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22400/1

Therefore the LCM of Fractions 40/382,50/262,896/333 is 22400

Greatest Common Factor of 382,262,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,262,333 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 382,262,333 . The biggest common factor number is the GCF number.
So the greatest common factor 382,262,333 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 40/382, 50/262, 896/333

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 40/382, 50/262, 896/333?

Answer: LCM of Numerators as per given numbers 40/382, 50/262, 896/333 is

LCM of Numerators i.e. for 40,50,896 is 22400

GCF of denominators i.e. for 382,262,333 is 1.

Thus, LCM of Fractions is 22400.Finally, LCM of Fractions for 40/382, 50/262, 896/333 is 22400.