Least Common Multiple of 504/85, 4056/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 504/85, 4056/425 quickly i.e. 85176/85 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/85, 4056/425 is 85176/85.

LCM(504/85, 4056/425) = 85176/85

LCM of 504/85, 4056/425

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 504/85,4056/425

Given numbers are 504/85,4056/425

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 504,4056

Least Common Multiple of Numerators i.e. LCM of 504,4056 is 85176.

GCF of Denominators means GCF of 85,425 as per the given fractions.

GCF of 85,425 is 85 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,4056

LCM of Fractions 504/85,4056/425 is 85176/85

2 504, 4056
2 252, 2028
2 126, 1014
3 63, 507
21, 169

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 21 x 169 = 85176

Least Common Multiple of 504,4056 with GCF Formula

Least Common Multiple of 504,4056 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 504,4056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,4056) = 24

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

GCF(504,4056) x common factors =24 x 1 = 24

LCM(504,4056) = ( 504 × 4056 ) / 24

LCM(504,4056) = 2044224 / 24

LCM(504,4056) = 85176


Lets's calculate GCF of 85,425

5 85, 425
17 17, 85
1, 5

∴ So the GCF of the given numbers is 5 x 17 = 85

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85176/85

Therefore the LCM of Fractions 504/85,4056/425 is 85176/85

Greatest Common Factor of 85,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,425 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 85,425 . The biggest common factor number is the GCF number.
So the greatest common factor 85,425 is 85.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 504/85, 4056/425

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 504/85, 4056/425?

Answer: LCM of Numerators as per given numbers 504/85, 4056/425 is

LCM of Numerators i.e. for 504,4056 is 85176

GCF of denominators i.e. for 85,425 is 85.

Thus, LCM of Fractions is 85176/85.Finally, LCM of Fractions for 504/85, 4056/425 is 85176/85.