Least Common Multiple of 28/197, 6000/1089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/197, 6000/1089 quickly i.e. 42000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/197, 6000/1089 is 42000.

LCM(28/197, 6000/1089) = 42000

LCM of 28/197, 6000/1089

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 28/197,6000/1089

Given numbers are 28/197,6000/1089

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 28,6000

Least Common Multiple of Numerators i.e. LCM of 28,6000 is 42000.

GCF of Denominators means GCF of 197,1089 as per the given fractions.

GCF of 197,1089 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,6000

LCM of Fractions 28/197,6000/1089 is 42000

2 28, 6000
2 14, 3000
7, 1500

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1500 = 42000

Least Common Multiple of 28,6000 with GCF Formula

Least Common Multiple of 28,6000 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 28,6000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,6000) = 4

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

GCF(28,6000) x common factors =4 x 1 = 4

LCM(28,6000) = ( 28 × 6000 ) / 4

LCM(28,6000) = 168000 / 4

LCM(28,6000) = 42000


Lets's calculate GCF of 197,1089

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42000/1

Therefore the LCM of Fractions 28/197,6000/1089 is 42000

Greatest Common Factor of 197,1089 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,1089 By Matching Biggest Common Factor Method

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 1089

List of positive integer factors of 1089 that divides 1089 without a remainder.

1,3,9,11,33,99,121,363,1089

Greatest Common Factor

We found the factors 197,1089 . The biggest common factor number is the GCF number.
So the greatest common factor 197,1089 is 1.


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 28/197, 6000/1089

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 28/197, 6000/1089?

Answer: LCM of Numerators as per given numbers 28/197, 6000/1089 is

LCM of Numerators i.e. for 28,6000 is 42000

GCF of denominators i.e. for 197,1089 is 1.

Thus, LCM of Fractions is 42000.Finally, LCM of Fractions for 28/197, 6000/1089 is 42000.