Least Common Multiple of 304/933, 801/697, 992/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/933, 801/697, 992/755 quickly i.e. 15097248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/933, 801/697, 992/755 is 15097248.

LCM(304/933, 801/697, 992/755) = 15097248

LCM of 304/933, 801/697, 992/755

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 304/933,801/697,992/755

Given numbers are 304/933,801/697,992/755

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 304,801,992

Least Common Multiple of Numerators i.e. LCM of 304,801,992 is 15097248.

GCF of Denominators means GCF of 933,697,755 as per the given fractions.

GCF of 933,697,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,801,992

LCM of Fractions 304/933,801/697,992/755 is 15097248

2 304, 801, 992
2 152, 801, 496
2 76, 801, 248
2 38, 801, 124
19, 801, 62

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 801 x 62 = 15097248

Least Common Multiple of 304,801,992 with GCF Formula

Least Common Multiple of 304,801,992 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 304,801,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,801,992) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(304,801,992) x common factors =1 x 16 = 16

LCM(304,801,992) = ( 304 × 801 × 992 ) / 16

LCM(304,801,992) = 241555968 / 16

LCM(304,801,992) = 15097248


Lets's calculate GCF of 933,697,755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15097248/1

Therefore the LCM of Fractions 304/933,801/697,992/755 is 15097248

Greatest Common Factor of 933,697,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,697,755 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 933,697,755 . The biggest common factor number is the GCF number.
So the greatest common factor 933,697,755 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 304/933, 801/697, 992/755

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 304/933, 801/697, 992/755?

Answer: LCM of Numerators as per given numbers 304/933, 801/697, 992/755 is

LCM of Numerators i.e. for 304,801,992 is 15097248

GCF of denominators i.e. for 933,697,755 is 1.

Thus, LCM of Fractions is 15097248.Finally, LCM of Fractions for 304/933, 801/697, 992/755 is 15097248.