Least Common Multiple of 53/463, 33/968, 994/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/463, 33/968, 994/989 quickly i.e. 1738506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/463, 33/968, 994/989 is 1738506.

LCM(53/463, 33/968, 994/989) = 1738506

LCM of 53/463, 33/968, 994/989

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 53/463,33/968,994/989

Given numbers are 53/463,33/968,994/989

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 53,33,994

Least Common Multiple of Numerators i.e. LCM of 53,33,994 is 1738506.

GCF of Denominators means GCF of 463,968,989 as per the given fractions.

GCF of 463,968,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,33,994

LCM of Fractions 53/463,33/968,994/989 is 1738506

Given numbers has no common factors except 1. So, there LCM is their product i.e 1738506

Least Common Multiple of 53,33,994 with GCF Formula

Least Common Multiple of 53,33,994 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 53,33,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,33,994) = 1

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

GCF(53,33,994) x common factors =1 x 1 = 1

LCM(53,33,994) = ( 53 × 33 × 994 ) / 1

LCM(53,33,994) = 1738506 / 1

LCM(53,33,994) = 1738506


Lets's calculate GCF of 463,968,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1738506/1

Therefore the LCM of Fractions 53/463,33/968,994/989 is 1738506

Greatest Common Factor of 463,968,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,968,989 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 463,968,989 . The biggest common factor number is the GCF number.
So the greatest common factor 463,968,989 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 53/463, 33/968, 994/989

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 53/463, 33/968, 994/989?

Answer: LCM of Numerators as per given numbers 53/463, 33/968, 994/989 is

LCM of Numerators i.e. for 53,33,994 is 1738506

GCF of denominators i.e. for 463,968,989 is 1.

Thus, LCM of Fractions is 1738506.Finally, LCM of Fractions for 53/463, 33/968, 994/989 is 1738506.