Least Common Multiple of 46/142, 997/798, 363/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/142, 997/798, 363/400 quickly i.e. 8323953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/142, 997/798, 363/400 is 8323953.

LCM(46/142, 997/798, 363/400) = 8323953

LCM of 46/142, 997/798, 363/400

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 46/142,997/798,363/400

Given numbers are 46/142,997/798,363/400

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 46,997,363

Least Common Multiple of Numerators i.e. LCM of 46,997,363 is 16647906.

GCF of Denominators means GCF of 142,798,400 as per the given fractions.

GCF of 142,798,400 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,997,363

LCM of Fractions 46/142,997/798,363/400 is 8323953

Given numbers has no common factors except 1. So, there LCM is their product i.e 16647906

Least Common Multiple of 46,997,363 with GCF Formula

Least Common Multiple of 46,997,363 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 46,997,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,997,363) = 1

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

GCF(46,997,363) x common factors =1 x 1 = 1

LCM(46,997,363) = ( 46 × 997 × 363 ) / 1

LCM(46,997,363) = 16647906 / 1

LCM(46,997,363) = 16647906


Lets's calculate GCF of 142,798,400

2 142, 798, 400
71, 399, 200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16647906/2

Therefore the LCM of Fractions 46/142,997/798,363/400 is 8323953

Greatest Common Factor of 142,798,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,798,400 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 142,798,400 . The biggest common factor number is the GCF number.
So the greatest common factor 142,798,400 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 46/142, 997/798, 363/400

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 46/142, 997/798, 363/400?

Answer: LCM of Numerators as per given numbers 46/142, 997/798, 363/400 is

LCM of Numerators i.e. for 46,997,363 is 16647906

GCF of denominators i.e. for 142,798,400 is 2.

Thus, LCM of Fractions is 8323953.Finally, LCM of Fractions for 46/142, 997/798, 363/400 is 8323953.