Least Common Multiple of 42/963, 851/402, 556/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/963, 851/402, 556/561 quickly i.e. 3312092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/963, 851/402, 556/561 is 3312092.

LCM(42/963, 851/402, 556/561) = 3312092

LCM of 42/963, 851/402, 556/561

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 42/963,851/402,556/561

Given numbers are 42/963,851/402,556/561

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 42,851,556

Least Common Multiple of Numerators i.e. LCM of 42,851,556 is 9936276.

GCF of Denominators means GCF of 963,402,561 as per the given fractions.

GCF of 963,402,561 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,851,556

LCM of Fractions 42/963,851/402,556/561 is 3312092

2 42, 851, 556
21, 851, 278

∴ So the LCM of the given numbers is 2 x 21 x 851 x 278 = 9936276

Least Common Multiple of 42,851,556 with GCF Formula

Least Common Multiple of 42,851,556 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 42,851,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,851,556) = 1

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

GCF(42,851,556) x common factors =1 x 2 = 2

LCM(42,851,556) = ( 42 × 851 × 556 ) / 2

LCM(42,851,556) = 19872552 / 2

LCM(42,851,556) = 9936276


Lets's calculate GCF of 963,402,561

3 963, 402, 561
321, 134, 187

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9936276/3

Therefore the LCM of Fractions 42/963,851/402,556/561 is 3312092

Greatest Common Factor of 963,402,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,402,561 By Matching Biggest Common Factor Method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 963,402,561 . The biggest common factor number is the GCF number.
So the greatest common factor 963,402,561 is 3.


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 42/963, 851/402, 556/561

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 42/963, 851/402, 556/561?

Answer: LCM of Numerators as per given numbers 42/963, 851/402, 556/561 is

LCM of Numerators i.e. for 42,851,556 is 9936276

GCF of denominators i.e. for 963,402,561 is 3.

Thus, LCM of Fractions is 3312092.Finally, LCM of Fractions for 42/963, 851/402, 556/561 is 3312092.