Least Common Multiple of 46/710, 2672/8392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/710, 2672/8392 quickly i.e. 30728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/710, 2672/8392 is 30728.

LCM(46/710, 2672/8392) = 30728

LCM of 46/710, 2672/8392

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 46/710,2672/8392

Given numbers are 46/710,2672/8392

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 46,2672

Least Common Multiple of Numerators i.e. LCM of 46,2672 is 61456.

GCF of Denominators means GCF of 710,8392 as per the given fractions.

GCF of 710,8392 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,2672

LCM of Fractions 46/710,2672/8392 is 30728

2 46, 2672
23, 1336

∴ So the LCM of the given numbers is 2 x 23 x 1336 = 61456

Least Common Multiple of 46,2672 with GCF Formula

Least Common Multiple of 46,2672 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 46,2672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,2672) = 2

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

GCF(46,2672) x common factors =2 x 1 = 2

LCM(46,2672) = ( 46 × 2672 ) / 2

LCM(46,2672) = 122912 / 2

LCM(46,2672) = 61456


Lets's calculate GCF of 710,8392

2 710, 8392
355, 4196

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61456/2

Therefore the LCM of Fractions 46/710,2672/8392 is 30728

Greatest Common Factor of 710,8392 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,8392 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 8392

List of positive integer factors of 8392 that divides 8392 without a remainder.

1,2,4,8,1049,2098,4196,8392

Greatest Common Factor

We found the factors 710,8392 . The biggest common factor number is the GCF number.
So the greatest common factor 710,8392 is 2.


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 46/710, 2672/8392

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 46/710, 2672/8392?

Answer: LCM of Numerators as per given numbers 46/710, 2672/8392 is

LCM of Numerators i.e. for 46,2672 is 61456

GCF of denominators i.e. for 710,8392 is 2.

Thus, LCM of Fractions is 30728.Finally, LCM of Fractions for 46/710, 2672/8392 is 30728.