Least Common Multiple of 38/182, 345/572, 398/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/182, 345/572, 398/703 quickly i.e. 2608890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/182, 345/572, 398/703 is 2608890.

LCM(38/182, 345/572, 398/703) = 2608890

LCM of 38/182, 345/572, 398/703

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 38/182,345/572,398/703

Given numbers are 38/182,345/572,398/703

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 38,345,398

Least Common Multiple of Numerators i.e. LCM of 38,345,398 is 2608890.

GCF of Denominators means GCF of 182,572,703 as per the given fractions.

GCF of 182,572,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,345,398

LCM of Fractions 38/182,345/572,398/703 is 2608890

2 38, 345, 398
19, 345, 199

∴ So the LCM of the given numbers is 2 x 19 x 345 x 199 = 2608890

Least Common Multiple of 38,345,398 with GCF Formula

Least Common Multiple of 38,345,398 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 38,345,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,345,398) = 1

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

GCF(38,345,398) x common factors =1 x 2 = 2

LCM(38,345,398) = ( 38 × 345 × 398 ) / 2

LCM(38,345,398) = 5217780 / 2

LCM(38,345,398) = 2608890


Lets's calculate GCF of 182,572,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2608890/1

Therefore the LCM of Fractions 38/182,345/572,398/703 is 2608890

Greatest Common Factor of 182,572,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,572,703 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 182,572,703 . The biggest common factor number is the GCF number.
So the greatest common factor 182,572,703 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 38/182, 345/572, 398/703

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 38/182, 345/572, 398/703?

Answer: LCM of Numerators as per given numbers 38/182, 345/572, 398/703 is

LCM of Numerators i.e. for 38,345,398 is 2608890

GCF of denominators i.e. for 182,572,703 is 1.

Thus, LCM of Fractions is 2608890.Finally, LCM of Fractions for 38/182, 345/572, 398/703 is 2608890.