Least Common Multiple of 553/324, 995/640, 574/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 553/324, 995/640, 574/864 quickly i.e. 45119270/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 553/324, 995/640, 574/864 is 45119270/4.

LCM(553/324, 995/640, 574/864) = 45119270/4

LCM of 553/324, 995/640, 574/864

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 553/324,995/640,574/864

Given numbers are 553/324,995/640,574/864

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 553,995,574

Least Common Multiple of Numerators i.e. LCM of 553,995,574 is 45119270.

GCF of Denominators means GCF of 324,640,864 as per the given fractions.

GCF of 324,640,864 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 553,995,574

LCM of Fractions 553/324,995/640,574/864 is 45119270/4

7 553, 995, 574
79, 995, 82

∴ So the LCM of the given numbers is 7 x 79 x 995 x 82 = 45119270

Least Common Multiple of 553,995,574 with GCF Formula

Least Common Multiple of 553,995,574 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 553,995,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,995,574) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(553,995,574) x common factors =1 x 7 = 7

LCM(553,995,574) = ( 553 × 995 × 574 ) / 7

LCM(553,995,574) = 315834890 / 7

LCM(553,995,574) = 45119270


Lets's calculate GCF of 324,640,864

2 324, 640, 864
2 162, 320, 432
81, 160, 216

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45119270/4

Therefore the LCM of Fractions 553/324,995/640,574/864 is 45119270/4

Greatest Common Factor of 324,640,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,640,864 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 324,640,864 . The biggest common factor number is the GCF number.
So the greatest common factor 324,640,864 is 4.


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 553/324, 995/640, 574/864

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 553/324, 995/640, 574/864?

Answer: LCM of Numerators as per given numbers 553/324, 995/640, 574/864 is

LCM of Numerators i.e. for 553,995,574 is 45119270

GCF of denominators i.e. for 324,640,864 is 4.

Thus, LCM of Fractions is 45119270/4.Finally, LCM of Fractions for 553/324, 995/640, 574/864 is 45119270/4.