Least Common Multiple of 46/978, 7866/7916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/978, 7866/7916 quickly i.e. 3933 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/978, 7866/7916 is 3933.

LCM(46/978, 7866/7916) = 3933

LCM of 46/978, 7866/7916

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 46/978,7866/7916

Given numbers are 46/978,7866/7916

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 46,7866

Least Common Multiple of Numerators i.e. LCM of 46,7866 is 7866.

GCF of Denominators means GCF of 978,7916 as per the given fractions.

GCF of 978,7916 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,7866

LCM of Fractions 46/978,7866/7916 is 3933

2 46, 7866
23 23, 3933
1, 171

∴ So the LCM of the given numbers is 2 x 23 x 1 x 171 = 7866

Least Common Multiple of 46,7866 with GCF Formula

Least Common Multiple of 46,7866 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 46,7866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,7866) = 46

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

GCF(46,7866) x common factors =46 x 1 = 46

LCM(46,7866) = ( 46 × 7866 ) / 46

LCM(46,7866) = 361836 / 46

LCM(46,7866) = 7866


Lets's calculate GCF of 978,7916

2 978, 7916
489, 3958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7866/2

Therefore the LCM of Fractions 46/978,7866/7916 is 3933

Greatest Common Factor of 978,7916 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,7916 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 7916

List of positive integer factors of 7916 that divides 7916 without a remainder.

1,2,4,1979,3958,7916

Greatest Common Factor

We found the factors 978,7916 . The biggest common factor number is the GCF number.
So the greatest common factor 978,7916 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 46/978, 7866/7916

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 46/978, 7866/7916?

Answer: LCM of Numerators as per given numbers 46/978, 7866/7916 is

LCM of Numerators i.e. for 46,7866 is 7866

GCF of denominators i.e. for 978,7916 is 2.

Thus, LCM of Fractions is 3933.Finally, LCM of Fractions for 46/978, 7866/7916 is 3933.