Least Common Multiple of 177/998, 8712/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 177/998, 8712/444 quickly i.e. 257004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/998, 8712/444 is 257004.

LCM(177/998, 8712/444) = 257004

LCM of 177/998, 8712/444

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 177/998,8712/444

Given numbers are 177/998,8712/444

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 177,8712

Least Common Multiple of Numerators i.e. LCM of 177,8712 is 514008.

GCF of Denominators means GCF of 998,444 as per the given fractions.

GCF of 998,444 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,8712

LCM of Fractions 177/998,8712/444 is 257004

3 177, 8712
59, 2904

∴ So the LCM of the given numbers is 3 x 59 x 2904 = 514008

Least Common Multiple of 177,8712 with GCF Formula

Least Common Multiple of 177,8712 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 177,8712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,8712) = 3

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

GCF(177,8712) x common factors =3 x 1 = 3

LCM(177,8712) = ( 177 × 8712 ) / 3

LCM(177,8712) = 1542024 / 3

LCM(177,8712) = 514008


Lets's calculate GCF of 998,444

2 998, 444
499, 222

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 514008/2

Therefore the LCM of Fractions 177/998,8712/444 is 257004

Greatest Common Factor of 998,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,444 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 998,444 . The biggest common factor number is the GCF number.
So the greatest common factor 998,444 is 2.


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 177/998, 8712/444

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 177/998, 8712/444?

Answer: LCM of Numerators as per given numbers 177/998, 8712/444 is

LCM of Numerators i.e. for 177,8712 is 514008

GCF of denominators i.e. for 998,444 is 2.

Thus, LCM of Fractions is 257004.Finally, LCM of Fractions for 177/998, 8712/444 is 257004.