Least Common Multiple of 9282/93, 7224/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9282/93, 7224/504 quickly i.e. 532168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9282/93, 7224/504 is 532168.

LCM(9282/93, 7224/504) = 532168

LCM of 9282/93, 7224/504

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 9282/93,7224/504

Given numbers are 9282/93,7224/504

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 9282,7224

Least Common Multiple of Numerators i.e. LCM of 9282,7224 is 1596504.

GCF of Denominators means GCF of 93,504 as per the given fractions.

GCF of 93,504 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9282,7224

LCM of Fractions 9282/93,7224/504 is 532168

2 9282, 7224
3 4641, 3612
7 1547, 1204
221, 172

∴ So the LCM of the given numbers is 2 x 3 x 7 x 221 x 172 = 1596504

Least Common Multiple of 9282,7224 with GCF Formula

Least Common Multiple of 9282,7224 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 9282,7224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9282,7224) = 42

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

GCF(9282,7224) x common factors =42 x 1 = 42

LCM(9282,7224) = ( 9282 × 7224 ) / 42

LCM(9282,7224) = 67053168 / 42

LCM(9282,7224) = 1596504


Lets's calculate GCF of 93,504

3 93, 504
31, 168

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1596504/3

Therefore the LCM of Fractions 9282/93,7224/504 is 532168

Greatest Common Factor of 93,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,504 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 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 93,504 . The biggest common factor number is the GCF number.
So the greatest common factor 93,504 is 3.


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 9282/93, 7224/504

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 9282/93, 7224/504?

Answer: LCM of Numerators as per given numbers 9282/93, 7224/504 is

LCM of Numerators i.e. for 9282,7224 is 1596504

GCF of denominators i.e. for 93,504 is 3.

Thus, LCM of Fractions is 532168.Finally, LCM of Fractions for 9282/93, 7224/504 is 532168.