Least Common Multiple of 14/445, 26/846, 431/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/445, 26/846, 431/319 quickly i.e. 78442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/445, 26/846, 431/319 is 78442.

LCM(14/445, 26/846, 431/319) = 78442

LCM of 14/445, 26/846, 431/319

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 14/445,26/846,431/319

Given numbers are 14/445,26/846,431/319

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 14,26,431

Least Common Multiple of Numerators i.e. LCM of 14,26,431 is 78442.

GCF of Denominators means GCF of 445,846,319 as per the given fractions.

GCF of 445,846,319 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,26,431

LCM of Fractions 14/445,26/846,431/319 is 78442

2 14, 26, 431
7, 13, 431

∴ So the LCM of the given numbers is 2 x 7 x 13 x 431 = 78442

Least Common Multiple of 14,26,431 with GCF Formula

Least Common Multiple of 14,26,431 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 14,26,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,26,431) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,26,431) x common factors =1 x 2 = 2

LCM(14,26,431) = ( 14 × 26 × 431 ) / 2

LCM(14,26,431) = 156884 / 2

LCM(14,26,431) = 78442


Lets's calculate GCF of 445,846,319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78442/1

Therefore the LCM of Fractions 14/445,26/846,431/319 is 78442

Greatest Common Factor of 445,846,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,846,319 By Matching Biggest Common Factor Method

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 445,846,319 . The biggest common factor number is the GCF number.
So the greatest common factor 445,846,319 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 14/445, 26/846, 431/319

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 14/445, 26/846, 431/319?

Answer: LCM of Numerators as per given numbers 14/445, 26/846, 431/319 is

LCM of Numerators i.e. for 14,26,431 is 78442

GCF of denominators i.e. for 445,846,319 is 1.

Thus, LCM of Fractions is 78442.Finally, LCM of Fractions for 14/445, 26/846, 431/319 is 78442.