Least Common Multiple of 90/525, 45/802, 992/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/525, 45/802, 992/465 quickly i.e. 44640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/525, 45/802, 992/465 is 44640.

LCM(90/525, 45/802, 992/465) = 44640

LCM of 90/525, 45/802, 992/465

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 90/525,45/802,992/465

Given numbers are 90/525,45/802,992/465

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 90,45,992

Least Common Multiple of Numerators i.e. LCM of 90,45,992 is 44640.

GCF of Denominators means GCF of 525,802,465 as per the given fractions.

GCF of 525,802,465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,45,992

LCM of Fractions 90/525,45/802,992/465 is 44640

2 90, 45, 992
3 45, 45, 496
3 15, 15, 496
5 5, 5, 496
1, 1, 496

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 496 = 44640

Least Common Multiple of 90,45,992 with GCF Formula

Least Common Multiple of 90,45,992 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 90,45,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,45,992) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(90,45,992) x common factors =1 x 90 = 90

LCM(90,45,992) = ( 90 × 45 × 992 ) / 90

LCM(90,45,992) = 4017600 / 90

LCM(90,45,992) = 44640


Lets's calculate GCF of 525,802,465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44640/1

Therefore the LCM of Fractions 90/525,45/802,992/465 is 44640

Greatest Common Factor of 525,802,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,802,465 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 525,802,465 . The biggest common factor number is the GCF number.
So the greatest common factor 525,802,465 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 90/525, 45/802, 992/465

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 90/525, 45/802, 992/465?

Answer: LCM of Numerators as per given numbers 90/525, 45/802, 992/465 is

LCM of Numerators i.e. for 90,45,992 is 44640

GCF of denominators i.e. for 525,802,465 is 1.

Thus, LCM of Fractions is 44640.Finally, LCM of Fractions for 90/525, 45/802, 992/465 is 44640.