Least Common Multiple of 196/10, 981/84, 873/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 196/10, 981/84, 873/32 quickly i.e. 9325386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/10, 981/84, 873/32 is 9325386.

LCM(196/10, 981/84, 873/32) = 9325386

LCM of 196/10, 981/84, 873/32

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 196/10,981/84,873/32

Given numbers are 196/10,981/84,873/32

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 196,981,873

Least Common Multiple of Numerators i.e. LCM of 196,981,873 is 18650772.

GCF of Denominators means GCF of 10,84,32 as per the given fractions.

GCF of 10,84,32 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,981,873

LCM of Fractions 196/10,981/84,873/32 is 9325386

3 196, 981, 873
3 196, 327, 291
196, 109, 97

∴ So the LCM of the given numbers is 3 x 3 x 196 x 109 x 97 = 18650772

Least Common Multiple of 196,981,873 with GCF Formula

Least Common Multiple of 196,981,873 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 196,981,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,981,873) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(196,981,873) x common factors =1 x 9 = 9

LCM(196,981,873) = ( 196 × 981 × 873 ) / 9

LCM(196,981,873) = 167856948 / 9

LCM(196,981,873) = 18650772


Lets's calculate GCF of 10,84,32

2 10, 84, 32
5, 42, 16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18650772/2

Therefore the LCM of Fractions 196/10,981/84,873/32 is 9325386

Greatest Common Factor of 10,84,32 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,84,32 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Greatest Common Factor

We found the factors 10,84,32 . The biggest common factor number is the GCF number.
So the greatest common factor 10,84,32 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 196/10, 981/84, 873/32

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 196/10, 981/84, 873/32?

Answer: LCM of Numerators as per given numbers 196/10, 981/84, 873/32 is

LCM of Numerators i.e. for 196,981,873 is 18650772

GCF of denominators i.e. for 10,84,32 is 2.

Thus, LCM of Fractions is 9325386.Finally, LCM of Fractions for 196/10, 981/84, 873/32 is 9325386.