Least Common Multiple of 448/613, 737/488, 747/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 448/613, 737/488, 747/774 quickly i.e. 246641472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/613, 737/488, 747/774 is 246641472.

LCM(448/613, 737/488, 747/774) = 246641472

LCM of 448/613, 737/488, 747/774

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 448/613,737/488,747/774

Given numbers are 448/613,737/488,747/774

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 448,737,747

Least Common Multiple of Numerators i.e. LCM of 448,737,747 is 246641472.

GCF of Denominators means GCF of 613,488,774 as per the given fractions.

GCF of 613,488,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,737,747

LCM of Fractions 448/613,737/488,747/774 is 246641472

Given numbers has no common factors except 1. So, there LCM is their product i.e 246641472

Least Common Multiple of 448,737,747 with GCF Formula

Least Common Multiple of 448,737,747 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 448,737,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,737,747) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(448,737,747) x common factors =1 x 1 = 1

LCM(448,737,747) = ( 448 × 737 × 747 ) / 1

LCM(448,737,747) = 246641472 / 1

LCM(448,737,747) = 246641472


Lets's calculate GCF of 613,488,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246641472/1

Therefore the LCM of Fractions 448/613,737/488,747/774 is 246641472

Greatest Common Factor of 613,488,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,488,774 By Matching Biggest Common Factor Method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 613,488,774 . The biggest common factor number is the GCF number.
So the greatest common factor 613,488,774 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 448/613, 737/488, 747/774

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 448/613, 737/488, 747/774?

Answer: LCM of Numerators as per given numbers 448/613, 737/488, 747/774 is

LCM of Numerators i.e. for 448,737,747 is 246641472

GCF of denominators i.e. for 613,488,774 is 1.

Thus, LCM of Fractions is 246641472.Finally, LCM of Fractions for 448/613, 737/488, 747/774 is 246641472.