Least Common Multiple of 196/32, 143/9960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 196/32, 143/9960 quickly i.e. 28028/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/32, 143/9960 is 28028/8.

LCM(196/32, 143/9960) = 28028/8

LCM of 196/32, 143/9960

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 196/32,143/9960

Given numbers are 196/32,143/9960

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 196,143

Least Common Multiple of Numerators i.e. LCM of 196,143 is 28028.

GCF of Denominators means GCF of 32,9960 as per the given fractions.

GCF of 32,9960 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,143

LCM of Fractions 196/32,143/9960 is 28028/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 28028

Least Common Multiple of 196,143 with GCF Formula

Least Common Multiple of 196,143 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 196,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,143) = 1

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

GCF(196,143) x common factors =1 x 1 = 1

LCM(196,143) = ( 196 × 143 ) / 1

LCM(196,143) = 28028 / 1

LCM(196,143) = 28028


Lets's calculate GCF of 32,9960

2 32, 9960
2 16, 4980
2 8, 2490
4, 1245

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28028/8

Therefore the LCM of Fractions 196/32,143/9960 is 28028/8

Greatest Common Factor of 32,9960 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,9960 By Matching Biggest Common Factor Method

Factors of 32

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

1,2,4,8,16,32

Factors of 9960

List of positive integer factors of 9960 that divides 9960 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960

Greatest Common Factor

We found the factors 32,9960 . The biggest common factor number is the GCF number.
So the greatest common factor 32,9960 is 8.


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 196/32, 143/9960

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 196/32, 143/9960?

Answer: LCM of Numerators as per given numbers 196/32, 143/9960 is

LCM of Numerators i.e. for 196,143 is 28028

GCF of denominators i.e. for 32,9960 is 8.

Thus, LCM of Fractions is 28028/8.Finally, LCM of Fractions for 196/32, 143/9960 is 28028/8.