Least Common Multiple of 74/300, 712/681, 469/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/300, 712/681, 469/476 quickly i.e. 12355336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/300, 712/681, 469/476 is 12355336.

LCM(74/300, 712/681, 469/476) = 12355336

LCM of 74/300, 712/681, 469/476

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 74/300,712/681,469/476

Given numbers are 74/300,712/681,469/476

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 74,712,469

Least Common Multiple of Numerators i.e. LCM of 74,712,469 is 12355336.

GCF of Denominators means GCF of 300,681,476 as per the given fractions.

GCF of 300,681,476 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,712,469

LCM of Fractions 74/300,712/681,469/476 is 12355336

2 74, 712, 469
37, 356, 469

∴ So the LCM of the given numbers is 2 x 37 x 356 x 469 = 12355336

Least Common Multiple of 74,712,469 with GCF Formula

Least Common Multiple of 74,712,469 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 74,712,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,712,469) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,712,469) x common factors =1 x 2 = 2

LCM(74,712,469) = ( 74 × 712 × 469 ) / 2

LCM(74,712,469) = 24710672 / 2

LCM(74,712,469) = 12355336


Lets's calculate GCF of 300,681,476

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12355336/1

Therefore the LCM of Fractions 74/300,712/681,469/476 is 12355336

Greatest Common Factor of 300,681,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,681,476 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 300,681,476 . The biggest common factor number is the GCF number.
So the greatest common factor 300,681,476 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 74/300, 712/681, 469/476

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 74/300, 712/681, 469/476?

Answer: LCM of Numerators as per given numbers 74/300, 712/681, 469/476 is

LCM of Numerators i.e. for 74,712,469 is 12355336

GCF of denominators i.e. for 300,681,476 is 1.

Thus, LCM of Fractions is 12355336.Finally, LCM of Fractions for 74/300, 712/681, 469/476 is 12355336.