Least Common Multiple of 504/93, 892/3562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 504/93, 892/3562 quickly i.e. 112392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/93, 892/3562 is 112392.

LCM(504/93, 892/3562) = 112392

LCM of 504/93, 892/3562

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 504/93,892/3562

Given numbers are 504/93,892/3562

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 504,892

Least Common Multiple of Numerators i.e. LCM of 504,892 is 112392.

GCF of Denominators means GCF of 93,3562 as per the given fractions.

GCF of 93,3562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,892

LCM of Fractions 504/93,892/3562 is 112392

2 504, 892
2 252, 446
126, 223

∴ So the LCM of the given numbers is 2 x 2 x 126 x 223 = 112392

Least Common Multiple of 504,892 with GCF Formula

Least Common Multiple of 504,892 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 504,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,892) = 4

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

GCF(504,892) x common factors =4 x 1 = 4

LCM(504,892) = ( 504 × 892 ) / 4

LCM(504,892) = 449568 / 4

LCM(504,892) = 112392


Lets's calculate GCF of 93,3562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112392/1

Therefore the LCM of Fractions 504/93,892/3562 is 112392

Greatest Common Factor of 93,3562 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,3562 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 3562

List of positive integer factors of 3562 that divides 3562 without a remainder.

1,2,13,26,137,274,1781,3562

Greatest Common Factor

We found the factors 93,3562 . The biggest common factor number is the GCF number.
So the greatest common factor 93,3562 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 504/93, 892/3562

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 504/93, 892/3562?

Answer: LCM of Numerators as per given numbers 504/93, 892/3562 is

LCM of Numerators i.e. for 504,892 is 112392

GCF of denominators i.e. for 93,3562 is 1.

Thus, LCM of Fractions is 112392.Finally, LCM of Fractions for 504/93, 892/3562 is 112392.