Least Common Multiple of 304/504, 474/970, 789/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/504, 474/970, 789/457 quickly i.e. 18948624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/504, 474/970, 789/457 is 18948624.

LCM(304/504, 474/970, 789/457) = 18948624

LCM of 304/504, 474/970, 789/457

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 304/504,474/970,789/457

Given numbers are 304/504,474/970,789/457

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 304,474,789

Least Common Multiple of Numerators i.e. LCM of 304,474,789 is 18948624.

GCF of Denominators means GCF of 504,970,457 as per the given fractions.

GCF of 504,970,457 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,474,789

LCM of Fractions 304/504,474/970,789/457 is 18948624

2 304, 474, 789
3 152, 237, 789
152, 79, 263

∴ So the LCM of the given numbers is 2 x 3 x 152 x 79 x 263 = 18948624

Least Common Multiple of 304,474,789 with GCF Formula

Least Common Multiple of 304,474,789 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 304,474,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,474,789) = 1

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

GCF(304,474,789) x common factors =1 x 6 = 6

LCM(304,474,789) = ( 304 × 474 × 789 ) / 6

LCM(304,474,789) = 113691744 / 6

LCM(304,474,789) = 18948624


Lets's calculate GCF of 504,970,457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18948624/1

Therefore the LCM of Fractions 304/504,474/970,789/457 is 18948624

Greatest Common Factor of 504,970,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,970,457 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Greatest Common Factor

We found the factors 504,970,457 . The biggest common factor number is the GCF number.
So the greatest common factor 504,970,457 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 304/504, 474/970, 789/457

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 304/504, 474/970, 789/457?

Answer: LCM of Numerators as per given numbers 304/504, 474/970, 789/457 is

LCM of Numerators i.e. for 304,474,789 is 18948624

GCF of denominators i.e. for 504,970,457 is 1.

Thus, LCM of Fractions is 18948624.Finally, LCM of Fractions for 304/504, 474/970, 789/457 is 18948624.