Least Common Multiple of 90/385, 8768/9433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/385, 8768/9433 quickly i.e. 394560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/385, 8768/9433 is 394560.

LCM(90/385, 8768/9433) = 394560

LCM of 90/385, 8768/9433

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 90/385,8768/9433

Given numbers are 90/385,8768/9433

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 90,8768

Least Common Multiple of Numerators i.e. LCM of 90,8768 is 394560.

GCF of Denominators means GCF of 385,9433 as per the given fractions.

GCF of 385,9433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,8768

LCM of Fractions 90/385,8768/9433 is 394560

2 90, 8768
45, 4384

∴ So the LCM of the given numbers is 2 x 45 x 4384 = 394560

Least Common Multiple of 90,8768 with GCF Formula

Least Common Multiple of 90,8768 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 90,8768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,8768) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(90,8768) x common factors =2 x 1 = 2

LCM(90,8768) = ( 90 × 8768 ) / 2

LCM(90,8768) = 789120 / 2

LCM(90,8768) = 394560


Lets's calculate GCF of 385,9433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 394560/1

Therefore the LCM of Fractions 90/385,8768/9433 is 394560

Greatest Common Factor of 385,9433 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,9433 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 9433

List of positive integer factors of 9433 that divides 9433 without a remainder.

1,9433

Greatest Common Factor

We found the factors 385,9433 . The biggest common factor number is the GCF number.
So the greatest common factor 385,9433 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/385, 8768/9433

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 90/385, 8768/9433?

Answer: LCM of Numerators as per given numbers 90/385, 8768/9433 is

LCM of Numerators i.e. for 90,8768 is 394560

GCF of denominators i.e. for 385,9433 is 1.

Thus, LCM of Fractions is 394560.Finally, LCM of Fractions for 90/385, 8768/9433 is 394560.