Least Common Multiple of 38/921, 682/930, 353/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/921, 682/930, 353/197 quickly i.e. 4574174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/921, 682/930, 353/197 is 4574174.

LCM(38/921, 682/930, 353/197) = 4574174

LCM of 38/921, 682/930, 353/197

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 38/921,682/930,353/197

Given numbers are 38/921,682/930,353/197

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 38,682,353

Least Common Multiple of Numerators i.e. LCM of 38,682,353 is 4574174.

GCF of Denominators means GCF of 921,930,197 as per the given fractions.

GCF of 921,930,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,682,353

LCM of Fractions 38/921,682/930,353/197 is 4574174

2 38, 682, 353
19, 341, 353

∴ So the LCM of the given numbers is 2 x 19 x 341 x 353 = 4574174

Least Common Multiple of 38,682,353 with GCF Formula

Least Common Multiple of 38,682,353 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 38,682,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,682,353) = 1

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

GCF(38,682,353) x common factors =1 x 2 = 2

LCM(38,682,353) = ( 38 × 682 × 353 ) / 2

LCM(38,682,353) = 9148348 / 2

LCM(38,682,353) = 4574174


Lets's calculate GCF of 921,930,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4574174/1

Therefore the LCM of Fractions 38/921,682/930,353/197 is 4574174

Greatest Common Factor of 921,930,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,930,197 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 921,930,197 . The biggest common factor number is the GCF number.
So the greatest common factor 921,930,197 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/921, 682/930, 353/197

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 38/921, 682/930, 353/197?

Answer: LCM of Numerators as per given numbers 38/921, 682/930, 353/197 is

LCM of Numerators i.e. for 38,682,353 is 4574174

GCF of denominators i.e. for 921,930,197 is 1.

Thus, LCM of Fractions is 4574174.Finally, LCM of Fractions for 38/921, 682/930, 353/197 is 4574174.