Least Common Multiple of 71/484, 42/821, 627/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/484, 42/821, 627/994 quickly i.e. 623238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/484, 42/821, 627/994 is 623238.

LCM(71/484, 42/821, 627/994) = 623238

LCM of 71/484, 42/821, 627/994

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 71/484,42/821,627/994

Given numbers are 71/484,42/821,627/994

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 71,42,627

Least Common Multiple of Numerators i.e. LCM of 71,42,627 is 623238.

GCF of Denominators means GCF of 484,821,994 as per the given fractions.

GCF of 484,821,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,42,627

LCM of Fractions 71/484,42/821,627/994 is 623238

3 71, 42, 627
71, 14, 209

∴ So the LCM of the given numbers is 3 x 71 x 14 x 209 = 623238

Least Common Multiple of 71,42,627 with GCF Formula

Least Common Multiple of 71,42,627 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 71,42,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,42,627) = 1

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

GCF(71,42,627) x common factors =1 x 3 = 3

LCM(71,42,627) = ( 71 × 42 × 627 ) / 3

LCM(71,42,627) = 1869714 / 3

LCM(71,42,627) = 623238


Lets's calculate GCF of 484,821,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 623238/1

Therefore the LCM of Fractions 71/484,42/821,627/994 is 623238

Greatest Common Factor of 484,821,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,821,994 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 484,821,994 . The biggest common factor number is the GCF number.
So the greatest common factor 484,821,994 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 71/484, 42/821, 627/994

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 71/484, 42/821, 627/994?

Answer: LCM of Numerators as per given numbers 71/484, 42/821, 627/994 is

LCM of Numerators i.e. for 71,42,627 is 623238

GCF of denominators i.e. for 484,821,994 is 1.

Thus, LCM of Fractions is 623238.Finally, LCM of Fractions for 71/484, 42/821, 627/994 is 623238.