Least Common Multiple of 14/85, 731/80, 646/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/85, 731/80, 646/848 quickly i.e. 194446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/85, 731/80, 646/848 is 194446.

LCM(14/85, 731/80, 646/848) = 194446

LCM of 14/85, 731/80, 646/848

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 14/85,731/80,646/848

Given numbers are 14/85,731/80,646/848

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 14,731,646

Least Common Multiple of Numerators i.e. LCM of 14,731,646 is 194446.

GCF of Denominators means GCF of 85,80,848 as per the given fractions.

GCF of 85,80,848 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,731,646

LCM of Fractions 14/85,731/80,646/848 is 194446

2 14, 731, 646
17 7, 731, 323
7, 43, 19

∴ So the LCM of the given numbers is 2 x 17 x 7 x 43 x 19 = 194446

Least Common Multiple of 14,731,646 with GCF Formula

Least Common Multiple of 14,731,646 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 14,731,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,731,646) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(14,731,646) x common factors =1 x 34 = 34

LCM(14,731,646) = ( 14 × 731 × 646 ) / 34

LCM(14,731,646) = 6611164 / 34

LCM(14,731,646) = 194446


Lets's calculate GCF of 85,80,848

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194446/1

Therefore the LCM of Fractions 14/85,731/80,646/848 is 194446

Greatest Common Factor of 85,80,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,80,848 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 85,80,848 . The biggest common factor number is the GCF number.
So the greatest common factor 85,80,848 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 14/85, 731/80, 646/848

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 14/85, 731/80, 646/848?

Answer: LCM of Numerators as per given numbers 14/85, 731/80, 646/848 is

LCM of Numerators i.e. for 14,731,646 is 194446

GCF of denominators i.e. for 85,80,848 is 1.

Thus, LCM of Fractions is 194446.Finally, LCM of Fractions for 14/85, 731/80, 646/848 is 194446.