Least Common Multiple of 38/93, 90/41, 82/83, 72/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/93, 90/41, 82/83, 72/777 quickly i.e. 280440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/93, 90/41, 82/83, 72/777 is 280440.

LCM(38/93, 90/41, 82/83, 72/777) = 280440

LCM of 38/93, 90/41, 82/83, 72/777

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 38/93,90/41,82/83,72/777

Given numbers are 38/93,90/41,82/83,72/777

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 38,90,82,72

Least Common Multiple of Numerators i.e. LCM of 38,90,82,72 is 280440.

GCF of Denominators means GCF of 93,41,83,777 as per the given fractions.

GCF of 93,41,83,777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,90,82,72

LCM of Fractions 38/93,90/41,82/83,72/777 is 280440

2 38, 90, 82, 72
3 19, 45, 41, 36
3 19, 15, 41, 12
19, 5, 41, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 5 x 41 x 4 = 280440

Least Common Multiple of 38,90,82,72 with GCF Formula

Least Common Multiple of 38,90,82,72 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 38,90,82,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,90,82,72) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(38,90,82,72) x common factors =2 x 36 = 72

LCM(38,90,82,72) = ( 38 × 90 × 82 × 72 ) / 72

LCM(38,90,82,72) = 20191680 / 72

LCM(38,90,82,72) = 280440


Lets's calculate GCF of 93,41,83,777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280440/1

Therefore the LCM of Fractions 38/93,90/41,82/83,72/777 is 280440

Greatest Common Factor of 93,41,83,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,41,83,777 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 93,41,83,777 . The biggest common factor number is the GCF number.
So the greatest common factor 93,41,83,777 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/93, 90/41, 82/83, 72/777

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 38/93, 90/41, 82/83, 72/777?

Answer: LCM of Numerators as per given numbers 38/93, 90/41, 82/83, 72/777 is

LCM of Numerators i.e. for 38,90,82,72 is 280440

GCF of denominators i.e. for 93,41,83,777 is 1.

Thus, LCM of Fractions is 280440.Finally, LCM of Fractions for 38/93, 90/41, 82/83, 72/777 is 280440.