Least Common Multiple of 292/443, 5378/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 292/443, 5378/383 quickly i.e. 785188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 292/443, 5378/383 is 785188.

LCM(292/443, 5378/383) = 785188

LCM of 292/443, 5378/383

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 292/443,5378/383

Given numbers are 292/443,5378/383

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 292,5378

Least Common Multiple of Numerators i.e. LCM of 292,5378 is 785188.

GCF of Denominators means GCF of 443,383 as per the given fractions.

GCF of 443,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 292,5378

LCM of Fractions 292/443,5378/383 is 785188

2 292, 5378
146, 2689

∴ So the LCM of the given numbers is 2 x 146 x 2689 = 785188

Least Common Multiple of 292,5378 with GCF Formula

Least Common Multiple of 292,5378 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 292,5378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,5378) = 2

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

GCF(292,5378) x common factors =2 x 1 = 2

LCM(292,5378) = ( 292 × 5378 ) / 2

LCM(292,5378) = 1570376 / 2

LCM(292,5378) = 785188


Lets's calculate GCF of 443,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 785188/1

Therefore the LCM of Fractions 292/443,5378/383 is 785188

Greatest Common Factor of 443,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,383 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 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 443,383 . The biggest common factor number is the GCF number.
So the greatest common factor 443,383 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 292/443, 5378/383

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 292/443, 5378/383?

Answer: LCM of Numerators as per given numbers 292/443, 5378/383 is

LCM of Numerators i.e. for 292,5378 is 785188

GCF of denominators i.e. for 443,383 is 1.

Thus, LCM of Fractions is 785188.Finally, LCM of Fractions for 292/443, 5378/383 is 785188.