Least Common Multiple of 5/772, 30/633, 90/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/772, 30/633, 90/575 quickly i.e. 90 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/772, 30/633, 90/575 is 90.

LCM(5/772, 30/633, 90/575) = 90

LCM of 5/772, 30/633, 90/575

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 5/772,30/633,90/575

Given numbers are 5/772,30/633,90/575

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 5,30,90

Least Common Multiple of Numerators i.e. LCM of 5,30,90 is 90.

GCF of Denominators means GCF of 772,633,575 as per the given fractions.

GCF of 772,633,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,30,90

LCM of Fractions 5/772,30/633,90/575 is 90

2 5, 30, 90
3 5, 15, 45
5 5, 5, 15
1, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 1 x 3 = 90

Least Common Multiple of 5,30,90 with GCF Formula

Least Common Multiple of 5,30,90 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 5,30,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,30,90) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(5,30,90) x common factors =5 x 30 = 150

LCM(5,30,90) = ( 5 × 30 × 90 ) / 150

LCM(5,30,90) = 13500 / 150

LCM(5,30,90) = 90


Lets's calculate GCF of 772,633,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90/1

Therefore the LCM of Fractions 5/772,30/633,90/575 is 90

Greatest Common Factor of 772,633,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,633,575 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 772,633,575 . The biggest common factor number is the GCF number.
So the greatest common factor 772,633,575 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 5/772, 30/633, 90/575

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 5/772, 30/633, 90/575?

Answer: LCM of Numerators as per given numbers 5/772, 30/633, 90/575 is

LCM of Numerators i.e. for 5,30,90 is 90

GCF of denominators i.e. for 772,633,575 is 1.

Thus, LCM of Fractions is 90.Finally, LCM of Fractions for 5/772, 30/633, 90/575 is 90.