Least Common Multiple of 90/960, 551/332, 532/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/960, 551/332, 532/853 quickly i.e. 694260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/960, 551/332, 532/853 is 694260.

LCM(90/960, 551/332, 532/853) = 694260

LCM of 90/960, 551/332, 532/853

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 90/960,551/332,532/853

Given numbers are 90/960,551/332,532/853

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 90,551,532

Least Common Multiple of Numerators i.e. LCM of 90,551,532 is 694260.

GCF of Denominators means GCF of 960,332,853 as per the given fractions.

GCF of 960,332,853 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,551,532

LCM of Fractions 90/960,551/332,532/853 is 694260

2 90, 551, 532
19 45, 551, 266
45, 29, 14

∴ So the LCM of the given numbers is 2 x 19 x 45 x 29 x 14 = 694260

Least Common Multiple of 90,551,532 with GCF Formula

Least Common Multiple of 90,551,532 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 90,551,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,551,532) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(90,551,532) x common factors =1 x 38 = 38

LCM(90,551,532) = ( 90 × 551 × 532 ) / 38

LCM(90,551,532) = 26381880 / 38

LCM(90,551,532) = 694260


Lets's calculate GCF of 960,332,853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 694260/1

Therefore the LCM of Fractions 90/960,551/332,532/853 is 694260

Greatest Common Factor of 960,332,853 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,332,853 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Greatest Common Factor

We found the factors 960,332,853 . The biggest common factor number is the GCF number.
So the greatest common factor 960,332,853 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 90/960, 551/332, 532/853

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 90/960, 551/332, 532/853?

Answer: LCM of Numerators as per given numbers 90/960, 551/332, 532/853 is

LCM of Numerators i.e. for 90,551,532 is 694260

GCF of denominators i.e. for 960,332,853 is 1.

Thus, LCM of Fractions is 694260.Finally, LCM of Fractions for 90/960, 551/332, 532/853 is 694260.