Least Common Multiple of 504/992, 2275/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/992, 2275/994 quickly i.e. 81900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/992, 2275/994 is 81900.

LCM(504/992, 2275/994) = 81900

LCM of 504/992, 2275/994

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 504/992,2275/994

Given numbers are 504/992,2275/994

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 504,2275

Least Common Multiple of Numerators i.e. LCM of 504,2275 is 163800.

GCF of Denominators means GCF of 992,994 as per the given fractions.

GCF of 992,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,2275

LCM of Fractions 504/992,2275/994 is 81900

7 504, 2275
72, 325

∴ So the LCM of the given numbers is 7 x 72 x 325 = 163800

Least Common Multiple of 504,2275 with GCF Formula

Least Common Multiple of 504,2275 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 504,2275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,2275) = 7

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

GCF(504,2275) x common factors =7 x 1 = 7

LCM(504,2275) = ( 504 × 2275 ) / 7

LCM(504,2275) = 1146600 / 7

LCM(504,2275) = 163800


Lets's calculate GCF of 992,994

2 992, 994
496, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163800/2

Therefore the LCM of Fractions 504/992,2275/994 is 81900

Greatest Common Factor of 992,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,994 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

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 992,994 . The biggest common factor number is the GCF number.
So the greatest common factor 992,994 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 504/992, 2275/994

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 504/992, 2275/994?

Answer: LCM of Numerators as per given numbers 504/992, 2275/994 is

LCM of Numerators i.e. for 504,2275 is 163800

GCF of denominators i.e. for 992,994 is 2.

Thus, LCM of Fractions is 81900.Finally, LCM of Fractions for 504/992, 2275/994 is 81900.