Least Common Multiple of 885/976, 846/212, 488/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 885/976, 846/212, 488/706 quickly i.e. 30447540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 885/976, 846/212, 488/706 is 30447540.

LCM(885/976, 846/212, 488/706) = 30447540

LCM of 885/976, 846/212, 488/706

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 885/976,846/212,488/706

Given numbers are 885/976,846/212,488/706

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 885,846,488

Least Common Multiple of Numerators i.e. LCM of 885,846,488 is 60895080.

GCF of Denominators means GCF of 976,212,706 as per the given fractions.

GCF of 976,212,706 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 885,846,488

LCM of Fractions 885/976,846/212,488/706 is 30447540

2 885, 846, 488
3 885, 423, 244
295, 141, 244

∴ So the LCM of the given numbers is 2 x 3 x 295 x 141 x 244 = 60895080

Least Common Multiple of 885,846,488 with GCF Formula

Least Common Multiple of 885,846,488 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 885,846,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(885,846,488) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(885,846,488) x common factors =1 x 6 = 6

LCM(885,846,488) = ( 885 × 846 × 488 ) / 6

LCM(885,846,488) = 365370480 / 6

LCM(885,846,488) = 60895080


Lets's calculate GCF of 976,212,706

2 976, 212, 706
488, 106, 353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60895080/2

Therefore the LCM of Fractions 885/976,846/212,488/706 is 30447540

Greatest Common Factor of 976,212,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,212,706 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 976,212,706 . The biggest common factor number is the GCF number.
So the greatest common factor 976,212,706 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 885/976, 846/212, 488/706

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 885/976, 846/212, 488/706?

Answer: LCM of Numerators as per given numbers 885/976, 846/212, 488/706 is

LCM of Numerators i.e. for 885,846,488 is 60895080

GCF of denominators i.e. for 976,212,706 is 2.

Thus, LCM of Fractions is 30447540.Finally, LCM of Fractions for 885/976, 846/212, 488/706 is 30447540.