Least Common Multiple of 504/560, 1984/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/560, 1984/597 quickly i.e. 124992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/560, 1984/597 is 124992.

LCM(504/560, 1984/597) = 124992

LCM of 504/560, 1984/597

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 504/560,1984/597

Given numbers are 504/560,1984/597

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 504,1984

Least Common Multiple of Numerators i.e. LCM of 504,1984 is 124992.

GCF of Denominators means GCF of 560,597 as per the given fractions.

GCF of 560,597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,1984

LCM of Fractions 504/560,1984/597 is 124992

2 504, 1984
2 252, 992
2 126, 496
63, 248

∴ So the LCM of the given numbers is 2 x 2 x 2 x 63 x 248 = 124992

Least Common Multiple of 504,1984 with GCF Formula

Least Common Multiple of 504,1984 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 504,1984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,1984) = 8

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

GCF(504,1984) x common factors =8 x 1 = 8

LCM(504,1984) = ( 504 × 1984 ) / 8

LCM(504,1984) = 999936 / 8

LCM(504,1984) = 124992


Lets's calculate GCF of 560,597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124992/1

Therefore the LCM of Fractions 504/560,1984/597 is 124992

Greatest Common Factor of 560,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,597 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 560,597 . The biggest common factor number is the GCF number.
So the greatest common factor 560,597 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 504/560, 1984/597

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 504/560, 1984/597?

Answer: LCM of Numerators as per given numbers 504/560, 1984/597 is

LCM of Numerators i.e. for 504,1984 is 124992

GCF of denominators i.e. for 560,597 is 1.

Thus, LCM of Fractions is 124992.Finally, LCM of Fractions for 504/560, 1984/597 is 124992.