Least Common Multiple of 93/726, 1961/3916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/726, 1961/3916 quickly i.e. 182373/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/726, 1961/3916 is 182373/22.

LCM(93/726, 1961/3916) = 182373/22

LCM of 93/726, 1961/3916

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 93/726,1961/3916

Given numbers are 93/726,1961/3916

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 93,1961

Least Common Multiple of Numerators i.e. LCM of 93,1961 is 182373.

GCF of Denominators means GCF of 726,3916 as per the given fractions.

GCF of 726,3916 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,1961

LCM of Fractions 93/726,1961/3916 is 182373/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 182373

Least Common Multiple of 93,1961 with GCF Formula

Least Common Multiple of 93,1961 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 93,1961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,1961) = 1

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

GCF(93,1961) x common factors =1 x 1 = 1

LCM(93,1961) = ( 93 × 1961 ) / 1

LCM(93,1961) = 182373 / 1

LCM(93,1961) = 182373


Lets's calculate GCF of 726,3916

2 726, 3916
11 363, 1958
33, 178

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182373/22

Therefore the LCM of Fractions 93/726,1961/3916 is 182373/22

Greatest Common Factor of 726,3916 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,3916 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 3916

List of positive integer factors of 3916 that divides 3916 without a remainder.

1,2,4,11,22,44,89,178,356,979,1958,3916

Greatest Common Factor

We found the factors 726,3916 . The biggest common factor number is the GCF number.
So the greatest common factor 726,3916 is 22.


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 93/726, 1961/3916

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 93/726, 1961/3916?

Answer: LCM of Numerators as per given numbers 93/726, 1961/3916 is

LCM of Numerators i.e. for 93,1961 is 182373

GCF of denominators i.e. for 726,3916 is 22.

Thus, LCM of Fractions is 182373/22.Finally, LCM of Fractions for 93/726, 1961/3916 is 182373/22.