Least Common Multiple of 33/197, 103/745, 786/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/197, 103/745, 786/810 quickly i.e. 890538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/197, 103/745, 786/810 is 890538.

LCM(33/197, 103/745, 786/810) = 890538

LCM of 33/197, 103/745, 786/810

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 33/197,103/745,786/810

Given numbers are 33/197,103/745,786/810

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 33,103,786

Least Common Multiple of Numerators i.e. LCM of 33,103,786 is 890538.

GCF of Denominators means GCF of 197,745,810 as per the given fractions.

GCF of 197,745,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,103,786

LCM of Fractions 33/197,103/745,786/810 is 890538

3 33, 103, 786
11, 103, 262

∴ So the LCM of the given numbers is 3 x 11 x 103 x 262 = 890538

Least Common Multiple of 33,103,786 with GCF Formula

Least Common Multiple of 33,103,786 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 33,103,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,103,786) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,103,786) x common factors =1 x 3 = 3

LCM(33,103,786) = ( 33 × 103 × 786 ) / 3

LCM(33,103,786) = 2671614 / 3

LCM(33,103,786) = 890538


Lets's calculate GCF of 197,745,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 890538/1

Therefore the LCM of Fractions 33/197,103/745,786/810 is 890538

Greatest Common Factor of 197,745,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,745,810 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 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 197,745,810 . The biggest common factor number is the GCF number.
So the greatest common factor 197,745,810 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 33/197, 103/745, 786/810

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 33/197, 103/745, 786/810?

Answer: LCM of Numerators as per given numbers 33/197, 103/745, 786/810 is

LCM of Numerators i.e. for 33,103,786 is 890538

GCF of denominators i.e. for 197,745,810 is 1.

Thus, LCM of Fractions is 890538.Finally, LCM of Fractions for 33/197, 103/745, 786/810 is 890538.