Least Common Multiple of 25/583, 43/244, 385/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/583, 43/244, 385/814 quickly i.e. 82775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/583, 43/244, 385/814 is 82775.

LCM(25/583, 43/244, 385/814) = 82775

LCM of 25/583, 43/244, 385/814

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 25/583,43/244,385/814

Given numbers are 25/583,43/244,385/814

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 25,43,385

Least Common Multiple of Numerators i.e. LCM of 25,43,385 is 82775.

GCF of Denominators means GCF of 583,244,814 as per the given fractions.

GCF of 583,244,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,43,385

LCM of Fractions 25/583,43/244,385/814 is 82775

5 25, 43, 385
5, 43, 77

∴ So the LCM of the given numbers is 5 x 5 x 43 x 77 = 82775

Least Common Multiple of 25,43,385 with GCF Formula

Least Common Multiple of 25,43,385 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 25,43,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,43,385) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,43,385) x common factors =1 x 5 = 5

LCM(25,43,385) = ( 25 × 43 × 385 ) / 5

LCM(25,43,385) = 413875 / 5

LCM(25,43,385) = 82775


Lets's calculate GCF of 583,244,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82775/1

Therefore the LCM of Fractions 25/583,43/244,385/814 is 82775

Greatest Common Factor of 583,244,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,244,814 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 583,244,814 . The biggest common factor number is the GCF number.
So the greatest common factor 583,244,814 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 25/583, 43/244, 385/814

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 25/583, 43/244, 385/814?

Answer: LCM of Numerators as per given numbers 25/583, 43/244, 385/814 is

LCM of Numerators i.e. for 25,43,385 is 82775

GCF of denominators i.e. for 583,244,814 is 1.

Thus, LCM of Fractions is 82775.Finally, LCM of Fractions for 25/583, 43/244, 385/814 is 82775.