Least Common Multiple of 304/304, 990/933, 976/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/304, 990/933, 976/953 quickly i.e. 9179280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/304, 990/933, 976/953 is 9179280.

LCM(304/304, 990/933, 976/953) = 9179280

LCM of 304/304, 990/933, 976/953

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 304/304,990/933,976/953

Given numbers are 304/304,990/933,976/953

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 304,990,976

Least Common Multiple of Numerators i.e. LCM of 304,990,976 is 9179280.

GCF of Denominators means GCF of 304,933,953 as per the given fractions.

GCF of 304,933,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,990,976

LCM of Fractions 304/304,990/933,976/953 is 9179280

2 304, 990, 976
2 152, 495, 488
2 76, 495, 244
2 38, 495, 122
19, 495, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 495 x 61 = 9179280

Least Common Multiple of 304,990,976 with GCF Formula

Least Common Multiple of 304,990,976 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 304,990,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,990,976) = 2

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

GCF(304,990,976) x common factors =2 x 16 = 32

LCM(304,990,976) = ( 304 × 990 × 976 ) / 32

LCM(304,990,976) = 293736960 / 32

LCM(304,990,976) = 9179280


Lets's calculate GCF of 304,933,953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9179280/1

Therefore the LCM of Fractions 304/304,990/933,976/953 is 9179280

Greatest Common Factor of 304,933,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,933,953 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 933

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

1,3,311,933

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 304,933,953 . The biggest common factor number is the GCF number.
So the greatest common factor 304,933,953 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 304/304, 990/933, 976/953

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 304/304, 990/933, 976/953?

Answer: LCM of Numerators as per given numbers 304/304, 990/933, 976/953 is

LCM of Numerators i.e. for 304,990,976 is 9179280

GCF of denominators i.e. for 304,933,953 is 1.

Thus, LCM of Fractions is 9179280.Finally, LCM of Fractions for 304/304, 990/933, 976/953 is 9179280.