Least Common Multiple of 1932/704, 6963/8610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1932/704, 6963/8610 quickly i.e. 2242086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1932/704, 6963/8610 is 2242086.

LCM(1932/704, 6963/8610) = 2242086

LCM of 1932/704, 6963/8610

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 1932/704,6963/8610

Given numbers are 1932/704,6963/8610

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 1932,6963

Least Common Multiple of Numerators i.e. LCM of 1932,6963 is 4484172.

GCF of Denominators means GCF of 704,8610 as per the given fractions.

GCF of 704,8610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1932,6963

LCM of Fractions 1932/704,6963/8610 is 2242086

3 1932, 6963
644, 2321

∴ So the LCM of the given numbers is 3 x 644 x 2321 = 4484172

Least Common Multiple of 1932,6963 with GCF Formula

Least Common Multiple of 1932,6963 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 1932,6963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1932,6963) = 3

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

GCF(1932,6963) x common factors =3 x 1 = 3

LCM(1932,6963) = ( 1932 × 6963 ) / 3

LCM(1932,6963) = 13452516 / 3

LCM(1932,6963) = 4484172


Lets's calculate GCF of 704,8610

2 704, 8610
352, 4305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4484172/2

Therefore the LCM of Fractions 1932/704,6963/8610 is 2242086

Greatest Common Factor of 704,8610 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,8610 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 8610

List of positive integer factors of 8610 that divides 8610 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610

Greatest Common Factor

We found the factors 704,8610 . The biggest common factor number is the GCF number.
So the greatest common factor 704,8610 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 1932/704, 6963/8610

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 1932/704, 6963/8610?

Answer: LCM of Numerators as per given numbers 1932/704, 6963/8610 is

LCM of Numerators i.e. for 1932,6963 is 4484172

GCF of denominators i.e. for 704,8610 is 2.

Thus, LCM of Fractions is 2242086.Finally, LCM of Fractions for 1932/704, 6963/8610 is 2242086.