Least Common Multiple of 304/57, 289/10, 976/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/57, 289/10, 976/125 quickly i.e. 5359216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/57, 289/10, 976/125 is 5359216.

LCM(304/57, 289/10, 976/125) = 5359216

LCM of 304/57, 289/10, 976/125

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 304/57,289/10,976/125

Given numbers are 304/57,289/10,976/125

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 304,289,976

Least Common Multiple of Numerators i.e. LCM of 304,289,976 is 5359216.

GCF of Denominators means GCF of 57,10,125 as per the given fractions.

GCF of 57,10,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,289,976

LCM of Fractions 304/57,289/10,976/125 is 5359216

2 304, 289, 976
2 152, 289, 488
2 76, 289, 244
2 38, 289, 122
19, 289, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 289 x 61 = 5359216

Least Common Multiple of 304,289,976 with GCF Formula

Least Common Multiple of 304,289,976 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 304,289,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,289,976) = 1

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

GCF(304,289,976) x common factors =1 x 16 = 16

LCM(304,289,976) = ( 304 × 289 × 976 ) / 16

LCM(304,289,976) = 85747456 / 16

LCM(304,289,976) = 5359216


Lets's calculate GCF of 57,10,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5359216/1

Therefore the LCM of Fractions 304/57,289/10,976/125 is 5359216

Greatest Common Factor of 57,10,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,10,125 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 57,10,125 . The biggest common factor number is the GCF number.
So the greatest common factor 57,10,125 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 304/57, 289/10, 976/125

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 304/57, 289/10, 976/125?

Answer: LCM of Numerators as per given numbers 304/57, 289/10, 976/125 is

LCM of Numerators i.e. for 304,289,976 is 5359216

GCF of denominators i.e. for 57,10,125 is 1.

Thus, LCM of Fractions is 5359216.Finally, LCM of Fractions for 304/57, 289/10, 976/125 is 5359216.