Least Common Multiple of 48/423, 303/76, 990/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/423, 303/76, 990/664 quickly i.e. 799920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/423, 303/76, 990/664 is 799920.

LCM(48/423, 303/76, 990/664) = 799920

LCM of 48/423, 303/76, 990/664

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 48/423,303/76,990/664

Given numbers are 48/423,303/76,990/664

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 48,303,990

Least Common Multiple of Numerators i.e. LCM of 48,303,990 is 799920.

GCF of Denominators means GCF of 423,76,664 as per the given fractions.

GCF of 423,76,664 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,303,990

LCM of Fractions 48/423,303/76,990/664 is 799920

2 48, 303, 990
3 24, 303, 495
8, 101, 165

∴ So the LCM of the given numbers is 2 x 3 x 8 x 101 x 165 = 799920

Least Common Multiple of 48,303,990 with GCF Formula

Least Common Multiple of 48,303,990 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 48,303,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,303,990) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(48,303,990) x common factors =3 x 6 = 18

LCM(48,303,990) = ( 48 × 303 × 990 ) / 18

LCM(48,303,990) = 14398560 / 18

LCM(48,303,990) = 799920


Lets's calculate GCF of 423,76,664

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 799920/1

Therefore the LCM of Fractions 48/423,303/76,990/664 is 799920

Greatest Common Factor of 423,76,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,76,664 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 423,76,664 . The biggest common factor number is the GCF number.
So the greatest common factor 423,76,664 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 48/423, 303/76, 990/664

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 48/423, 303/76, 990/664?

Answer: LCM of Numerators as per given numbers 48/423, 303/76, 990/664 is

LCM of Numerators i.e. for 48,303,990 is 799920

GCF of denominators i.e. for 423,76,664 is 1.

Thus, LCM of Fractions is 799920.Finally, LCM of Fractions for 48/423, 303/76, 990/664 is 799920.