Least Common Multiple of 900/16, 669/32, 797/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/16, 669/32, 797/334 quickly i.e. 79978950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/16, 669/32, 797/334 is 79978950.

LCM(900/16, 669/32, 797/334) = 79978950

LCM of 900/16, 669/32, 797/334

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 900/16,669/32,797/334

Given numbers are 900/16,669/32,797/334

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 900,669,797

Least Common Multiple of Numerators i.e. LCM of 900,669,797 is 159957900.

GCF of Denominators means GCF of 16,32,334 as per the given fractions.

GCF of 16,32,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,669,797

LCM of Fractions 900/16,669/32,797/334 is 79978950

3 900, 669, 797
300, 223, 797

∴ So the LCM of the given numbers is 3 x 300 x 223 x 797 = 159957900

Least Common Multiple of 900,669,797 with GCF Formula

Least Common Multiple of 900,669,797 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 900,669,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,669,797) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(900,669,797) x common factors =1 x 3 = 3

LCM(900,669,797) = ( 900 × 669 × 797 ) / 3

LCM(900,669,797) = 479873700 / 3

LCM(900,669,797) = 159957900


Lets's calculate GCF of 16,32,334

2 16, 32, 334
8, 16, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159957900/2

Therefore the LCM of Fractions 900/16,669/32,797/334 is 79978950

Greatest Common Factor of 16,32,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,32,334 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 16,32,334 . The biggest common factor number is the GCF number.
So the greatest common factor 16,32,334 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 900/16, 669/32, 797/334

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 900/16, 669/32, 797/334?

Answer: LCM of Numerators as per given numbers 900/16, 669/32, 797/334 is

LCM of Numerators i.e. for 900,669,797 is 159957900

GCF of denominators i.e. for 16,32,334 is 2.

Thus, LCM of Fractions is 79978950.Finally, LCM of Fractions for 900/16, 669/32, 797/334 is 79978950.