Least Common Multiple of 8484/524, 6690/9390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8484/524, 6690/9390 quickly i.e. 4729830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8484/524, 6690/9390 is 4729830.

LCM(8484/524, 6690/9390) = 4729830

LCM of 8484/524, 6690/9390

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 8484/524,6690/9390

Given numbers are 8484/524,6690/9390

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 8484,6690

Least Common Multiple of Numerators i.e. LCM of 8484,6690 is 9459660.

GCF of Denominators means GCF of 524,9390 as per the given fractions.

GCF of 524,9390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8484,6690

LCM of Fractions 8484/524,6690/9390 is 4729830

2 8484, 6690
3 4242, 3345
1414, 1115

∴ So the LCM of the given numbers is 2 x 3 x 1414 x 1115 = 9459660

Least Common Multiple of 8484,6690 with GCF Formula

Least Common Multiple of 8484,6690 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 8484,6690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8484,6690) = 6

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

GCF(8484,6690) x common factors =6 x 1 = 6

LCM(8484,6690) = ( 8484 × 6690 ) / 6

LCM(8484,6690) = 56757960 / 6

LCM(8484,6690) = 9459660


Lets's calculate GCF of 524,9390

2 524, 9390
262, 4695

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9459660/2

Therefore the LCM of Fractions 8484/524,6690/9390 is 4729830

Greatest Common Factor of 524,9390 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,9390 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 9390

List of positive integer factors of 9390 that divides 9390 without a remainder.

1,2,3,5,6,10,15,30,313,626,939,1565,1878,3130,4695,9390

Greatest Common Factor

We found the factors 524,9390 . The biggest common factor number is the GCF number.
So the greatest common factor 524,9390 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 8484/524, 6690/9390

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 8484/524, 6690/9390?

Answer: LCM of Numerators as per given numbers 8484/524, 6690/9390 is

LCM of Numerators i.e. for 8484,6690 is 9459660

GCF of denominators i.e. for 524,9390 is 2.

Thus, LCM of Fractions is 4729830.Finally, LCM of Fractions for 8484/524, 6690/9390 is 4729830.