Least Common Multiple of 412/984, 855/688, 966/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/984, 855/688, 966/492 quickly i.e. 14178465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/984, 855/688, 966/492 is 14178465.

LCM(412/984, 855/688, 966/492) = 14178465

LCM of 412/984, 855/688, 966/492

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 412/984,855/688,966/492

Given numbers are 412/984,855/688,966/492

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 412,855,966

Least Common Multiple of Numerators i.e. LCM of 412,855,966 is 56713860.

GCF of Denominators means GCF of 984,688,492 as per the given fractions.

GCF of 984,688,492 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,855,966

LCM of Fractions 412/984,855/688,966/492 is 14178465

2 412, 855, 966
3 206, 855, 483
206, 285, 161

∴ So the LCM of the given numbers is 2 x 3 x 206 x 285 x 161 = 56713860

Least Common Multiple of 412,855,966 with GCF Formula

Least Common Multiple of 412,855,966 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 412,855,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,855,966) = 1

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

GCF(412,855,966) x common factors =1 x 6 = 6

LCM(412,855,966) = ( 412 × 855 × 966 ) / 6

LCM(412,855,966) = 340283160 / 6

LCM(412,855,966) = 56713860


Lets's calculate GCF of 984,688,492

2 984, 688, 492
2 492, 344, 246
123, 172, 246

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56713860/4

Therefore the LCM of Fractions 412/984,855/688,966/492 is 14178465

Greatest Common Factor of 984,688,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,688,492 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 984,688,492 . The biggest common factor number is the GCF number.
So the greatest common factor 984,688,492 is 4.


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 412/984, 855/688, 966/492

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 412/984, 855/688, 966/492?

Answer: LCM of Numerators as per given numbers 412/984, 855/688, 966/492 is

LCM of Numerators i.e. for 412,855,966 is 56713860

GCF of denominators i.e. for 984,688,492 is 4.

Thus, LCM of Fractions is 14178465.Finally, LCM of Fractions for 412/984, 855/688, 966/492 is 14178465.