Least Common Multiple of 121/714, 463/535, 353/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 121/714, 463/535, 353/973 quickly i.e. 19776119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 121/714, 463/535, 353/973 is 19776119.

LCM(121/714, 463/535, 353/973) = 19776119

LCM of 121/714, 463/535, 353/973

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 121/714,463/535,353/973

Given numbers are 121/714,463/535,353/973

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 121,463,353

Least Common Multiple of Numerators i.e. LCM of 121,463,353 is 19776119.

GCF of Denominators means GCF of 714,535,973 as per the given fractions.

GCF of 714,535,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 121,463,353

LCM of Fractions 121/714,463/535,353/973 is 19776119

Given numbers has no common factors except 1. So, there LCM is their product i.e 19776119

Least Common Multiple of 121,463,353 with GCF Formula

Least Common Multiple of 121,463,353 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 121,463,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,463,353) = 1

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

GCF(121,463,353) x common factors =1 x 1 = 1

LCM(121,463,353) = ( 121 × 463 × 353 ) / 1

LCM(121,463,353) = 19776119 / 1

LCM(121,463,353) = 19776119


Lets's calculate GCF of 714,535,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19776119/1

Therefore the LCM of Fractions 121/714,463/535,353/973 is 19776119

Greatest Common Factor of 714,535,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,535,973 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 714,535,973 . The biggest common factor number is the GCF number.
So the greatest common factor 714,535,973 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 121/714, 463/535, 353/973

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 121/714, 463/535, 353/973?

Answer: LCM of Numerators as per given numbers 121/714, 463/535, 353/973 is

LCM of Numerators i.e. for 121,463,353 is 19776119

GCF of denominators i.e. for 714,535,973 is 1.

Thus, LCM of Fractions is 19776119.Finally, LCM of Fractions for 121/714, 463/535, 353/973 is 19776119.