Least Common Multiple of 939/463, 438/686, 445/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 939/463, 438/686, 445/976 quickly i.e. 61006830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 939/463, 438/686, 445/976 is 61006830.

LCM(939/463, 438/686, 445/976) = 61006830

LCM of 939/463, 438/686, 445/976

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 939/463,438/686,445/976

Given numbers are 939/463,438/686,445/976

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 939,438,445

Least Common Multiple of Numerators i.e. LCM of 939,438,445 is 61006830.

GCF of Denominators means GCF of 463,686,976 as per the given fractions.

GCF of 463,686,976 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 939,438,445

LCM of Fractions 939/463,438/686,445/976 is 61006830

3 939, 438, 445
313, 146, 445

∴ So the LCM of the given numbers is 3 x 313 x 146 x 445 = 61006830

Least Common Multiple of 939,438,445 with GCF Formula

Least Common Multiple of 939,438,445 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 939,438,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,438,445) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(939,438,445) x common factors =1 x 3 = 3

LCM(939,438,445) = ( 939 × 438 × 445 ) / 3

LCM(939,438,445) = 183020490 / 3

LCM(939,438,445) = 61006830


Lets's calculate GCF of 463,686,976

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61006830/1

Therefore the LCM of Fractions 939/463,438/686,445/976 is 61006830

Greatest Common Factor of 463,686,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,686,976 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 463,686,976 . The biggest common factor number is the GCF number.
So the greatest common factor 463,686,976 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 939/463, 438/686, 445/976

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 939/463, 438/686, 445/976?

Answer: LCM of Numerators as per given numbers 939/463, 438/686, 445/976 is

LCM of Numerators i.e. for 939,438,445 is 61006830

GCF of denominators i.e. for 463,686,976 is 1.

Thus, LCM of Fractions is 61006830.Finally, LCM of Fractions for 939/463, 438/686, 445/976 is 61006830.