Least Common Multiple of 46/68, 91/14, 44/19, 31/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/68, 91/14, 44/19, 31/686 quickly i.e. 2854852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/68, 91/14, 44/19, 31/686 is 2854852.

LCM(46/68, 91/14, 44/19, 31/686) = 2854852

LCM of 46/68, 91/14, 44/19, 31/686

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 46/68,91/14,44/19,31/686

Given numbers are 46/68,91/14,44/19,31/686

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 46,91,44,31

Least Common Multiple of Numerators i.e. LCM of 46,91,44,31 is 2854852.

GCF of Denominators means GCF of 68,14,19,686 as per the given fractions.

GCF of 68,14,19,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,91,44,31

LCM of Fractions 46/68,91/14,44/19,31/686 is 2854852

2 46, 91, 44, 31
23, 91, 22, 31

∴ So the LCM of the given numbers is 2 x 23 x 91 x 22 x 31 = 2854852

Least Common Multiple of 46,91,44,31 with GCF Formula

Least Common Multiple of 46,91,44,31 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 46,91,44,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,91,44,31) = 1

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

GCF(46,91,44,31) x common factors =1 x 2 = 2

LCM(46,91,44,31) = ( 46 × 91 × 44 × 31 ) / 2

LCM(46,91,44,31) = 5709704 / 2

LCM(46,91,44,31) = 2854852


Lets's calculate GCF of 68,14,19,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2854852/1

Therefore the LCM of Fractions 46/68,91/14,44/19,31/686 is 2854852

Greatest Common Factor of 68,14,19,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,14,19,686 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 68,14,19,686 . The biggest common factor number is the GCF number.
So the greatest common factor 68,14,19,686 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 46/68, 91/14, 44/19, 31/686

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 46/68, 91/14, 44/19, 31/686?

Answer: LCM of Numerators as per given numbers 46/68, 91/14, 44/19, 31/686 is

LCM of Numerators i.e. for 46,91,44,31 is 2854852

GCF of denominators i.e. for 68,14,19,686 is 1.

Thus, LCM of Fractions is 2854852.Finally, LCM of Fractions for 46/68, 91/14, 44/19, 31/686 is 2854852.