Least Common Multiple of 96/447, 512/580, 552/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/447, 512/580, 552/874 quickly i.e. 35328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/447, 512/580, 552/874 is 35328.

LCM(96/447, 512/580, 552/874) = 35328

LCM of 96/447, 512/580, 552/874

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 96/447,512/580,552/874

Given numbers are 96/447,512/580,552/874

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 96,512,552

Least Common Multiple of Numerators i.e. LCM of 96,512,552 is 35328.

GCF of Denominators means GCF of 447,580,874 as per the given fractions.

GCF of 447,580,874 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,512,552

LCM of Fractions 96/447,512/580,552/874 is 35328

2 96, 512, 552
2 48, 256, 276
2 24, 128, 138
2 12, 64, 69
2 6, 32, 69
3 3, 16, 69
1, 16, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 16 x 23 = 35328

Least Common Multiple of 96,512,552 with GCF Formula

Least Common Multiple of 96,512,552 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 96,512,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,512,552) = 8

common factors(in case of two or more numbers have common factors) = 96

GCF(96,512,552) x common factors =8 x 96 = 768

LCM(96,512,552) = ( 96 × 512 × 552 ) / 768

LCM(96,512,552) = 27131904 / 768

LCM(96,512,552) = 35328


Lets's calculate GCF of 447,580,874

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35328/1

Therefore the LCM of Fractions 96/447,512/580,552/874 is 35328

Greatest Common Factor of 447,580,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,580,874 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 447,580,874 . The biggest common factor number is the GCF number.
So the greatest common factor 447,580,874 is 1.


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 96/447, 512/580, 552/874

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 96/447, 512/580, 552/874?

Answer: LCM of Numerators as per given numbers 96/447, 512/580, 552/874 is

LCM of Numerators i.e. for 96,512,552 is 35328

GCF of denominators i.e. for 447,580,874 is 1.

Thus, LCM of Fractions is 35328.Finally, LCM of Fractions for 96/447, 512/580, 552/874 is 35328.