Least Common Multiple of 90/384, 77/123, 106/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/384, 77/123, 106/935 quickly i.e. 367290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/384, 77/123, 106/935 is 367290.

LCM(90/384, 77/123, 106/935) = 367290

LCM of 90/384, 77/123, 106/935

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 90/384,77/123,106/935

Given numbers are 90/384,77/123,106/935

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 90,77,106

Least Common Multiple of Numerators i.e. LCM of 90,77,106 is 367290.

GCF of Denominators means GCF of 384,123,935 as per the given fractions.

GCF of 384,123,935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,77,106

LCM of Fractions 90/384,77/123,106/935 is 367290

2 90, 77, 106
45, 77, 53

∴ So the LCM of the given numbers is 2 x 45 x 77 x 53 = 367290

Least Common Multiple of 90,77,106 with GCF Formula

Least Common Multiple of 90,77,106 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 90,77,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,77,106) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(90,77,106) x common factors =1 x 2 = 2

LCM(90,77,106) = ( 90 × 77 × 106 ) / 2

LCM(90,77,106) = 734580 / 2

LCM(90,77,106) = 367290


Lets's calculate GCF of 384,123,935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367290/1

Therefore the LCM of Fractions 90/384,77/123,106/935 is 367290

Greatest Common Factor of 384,123,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,123,935 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 384,123,935 . The biggest common factor number is the GCF number.
So the greatest common factor 384,123,935 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 90/384, 77/123, 106/935

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 90/384, 77/123, 106/935?

Answer: LCM of Numerators as per given numbers 90/384, 77/123, 106/935 is

LCM of Numerators i.e. for 90,77,106 is 367290

GCF of denominators i.e. for 384,123,935 is 1.

Thus, LCM of Fractions is 367290.Finally, LCM of Fractions for 90/384, 77/123, 106/935 is 367290.