Least Common Multiple of 14/468, 61/986, 243/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/468, 61/986, 243/834 quickly i.e. 103761 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/468, 61/986, 243/834 is 103761.

LCM(14/468, 61/986, 243/834) = 103761

LCM of 14/468, 61/986, 243/834

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 14/468,61/986,243/834

Given numbers are 14/468,61/986,243/834

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 14,61,243

Least Common Multiple of Numerators i.e. LCM of 14,61,243 is 207522.

GCF of Denominators means GCF of 468,986,834 as per the given fractions.

GCF of 468,986,834 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,61,243

LCM of Fractions 14/468,61/986,243/834 is 103761

Given numbers has no common factors except 1. So, there LCM is their product i.e 207522

Least Common Multiple of 14,61,243 with GCF Formula

Least Common Multiple of 14,61,243 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 14,61,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,61,243) = 1

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

GCF(14,61,243) x common factors =1 x 1 = 1

LCM(14,61,243) = ( 14 × 61 × 243 ) / 1

LCM(14,61,243) = 207522 / 1

LCM(14,61,243) = 207522


Lets's calculate GCF of 468,986,834

2 468, 986, 834
234, 493, 417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207522/2

Therefore the LCM of Fractions 14/468,61/986,243/834 is 103761

Greatest Common Factor of 468,986,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,986,834 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 468,986,834 . The biggest common factor number is the GCF number.
So the greatest common factor 468,986,834 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 14/468, 61/986, 243/834

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 14/468, 61/986, 243/834?

Answer: LCM of Numerators as per given numbers 14/468, 61/986, 243/834 is

LCM of Numerators i.e. for 14,61,243 is 207522

GCF of denominators i.e. for 468,986,834 is 2.

Thus, LCM of Fractions is 103761.Finally, LCM of Fractions for 14/468, 61/986, 243/834 is 103761.