Least Common Multiple of 1584/922, 7176/4264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1584/922, 7176/4264 quickly i.e. 236808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1584/922, 7176/4264 is 236808.

LCM(1584/922, 7176/4264) = 236808

LCM of 1584/922, 7176/4264

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 1584/922,7176/4264

Given numbers are 1584/922,7176/4264

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 1584,7176

Least Common Multiple of Numerators i.e. LCM of 1584,7176 is 473616.

GCF of Denominators means GCF of 922,4264 as per the given fractions.

GCF of 922,4264 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1584,7176

LCM of Fractions 1584/922,7176/4264 is 236808

2 1584, 7176
2 792, 3588
2 396, 1794
3 198, 897
66, 299

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 66 x 299 = 473616

Least Common Multiple of 1584,7176 with GCF Formula

Least Common Multiple of 1584,7176 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 1584,7176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1584,7176) = 24

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

GCF(1584,7176) x common factors =24 x 1 = 24

LCM(1584,7176) = ( 1584 × 7176 ) / 24

LCM(1584,7176) = 11366784 / 24

LCM(1584,7176) = 473616


Lets's calculate GCF of 922,4264

2 922, 4264
461, 2132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 473616/2

Therefore the LCM of Fractions 1584/922,7176/4264 is 236808

Greatest Common Factor of 922,4264 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,4264 By Matching Biggest Common Factor Method

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 4264

List of positive integer factors of 4264 that divides 4264 without a remainder.

1,2,4,8,13,26,41,52,82,104,164,328,533,1066,2132,4264

Greatest Common Factor

We found the factors 922,4264 . The biggest common factor number is the GCF number.
So the greatest common factor 922,4264 is 2.


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 1584/922, 7176/4264

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 1584/922, 7176/4264?

Answer: LCM of Numerators as per given numbers 1584/922, 7176/4264 is

LCM of Numerators i.e. for 1584,7176 is 473616

GCF of denominators i.e. for 922,4264 is 2.

Thus, LCM of Fractions is 236808.Finally, LCM of Fractions for 1584/922, 7176/4264 is 236808.