Least Common Multiple of 196/643, 823/126, 113/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 196/643, 823/126, 113/618 quickly i.e. 18227804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/643, 823/126, 113/618 is 18227804.

LCM(196/643, 823/126, 113/618) = 18227804

LCM of 196/643, 823/126, 113/618

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 196/643,823/126,113/618

Given numbers are 196/643,823/126,113/618

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 196,823,113

Least Common Multiple of Numerators i.e. LCM of 196,823,113 is 18227804.

GCF of Denominators means GCF of 643,126,618 as per the given fractions.

GCF of 643,126,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,823,113

LCM of Fractions 196/643,823/126,113/618 is 18227804

Given numbers has no common factors except 1. So, there LCM is their product i.e 18227804

Least Common Multiple of 196,823,113 with GCF Formula

Least Common Multiple of 196,823,113 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 196,823,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,823,113) = 1

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

GCF(196,823,113) x common factors =1 x 1 = 1

LCM(196,823,113) = ( 196 × 823 × 113 ) / 1

LCM(196,823,113) = 18227804 / 1

LCM(196,823,113) = 18227804


Lets's calculate GCF of 643,126,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18227804/1

Therefore the LCM of Fractions 196/643,823/126,113/618 is 18227804

Greatest Common Factor of 643,126,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,126,618 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 643,126,618 . The biggest common factor number is the GCF number.
So the greatest common factor 643,126,618 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 196/643, 823/126, 113/618

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 196/643, 823/126, 113/618?

Answer: LCM of Numerators as per given numbers 196/643, 823/126, 113/618 is

LCM of Numerators i.e. for 196,823,113 is 18227804

GCF of denominators i.e. for 643,126,618 is 1.

Thus, LCM of Fractions is 18227804.Finally, LCM of Fractions for 196/643, 823/126, 113/618 is 18227804.