Least Common Multiple of 38/472, 597/289, 775/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/472, 597/289, 775/914 quickly i.e. 17581650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/472, 597/289, 775/914 is 17581650.

LCM(38/472, 597/289, 775/914) = 17581650

LCM of 38/472, 597/289, 775/914

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 38/472,597/289,775/914

Given numbers are 38/472,597/289,775/914

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 38,597,775

Least Common Multiple of Numerators i.e. LCM of 38,597,775 is 17581650.

GCF of Denominators means GCF of 472,289,914 as per the given fractions.

GCF of 472,289,914 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,597,775

LCM of Fractions 38/472,597/289,775/914 is 17581650

Given numbers has no common factors except 1. So, there LCM is their product i.e 17581650

Least Common Multiple of 38,597,775 with GCF Formula

Least Common Multiple of 38,597,775 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 38,597,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,597,775) = 1

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

GCF(38,597,775) x common factors =1 x 1 = 1

LCM(38,597,775) = ( 38 × 597 × 775 ) / 1

LCM(38,597,775) = 17581650 / 1

LCM(38,597,775) = 17581650


Lets's calculate GCF of 472,289,914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17581650/1

Therefore the LCM of Fractions 38/472,597/289,775/914 is 17581650

Greatest Common Factor of 472,289,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,289,914 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 472,289,914 . The biggest common factor number is the GCF number.
So the greatest common factor 472,289,914 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 38/472, 597/289, 775/914

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 38/472, 597/289, 775/914?

Answer: LCM of Numerators as per given numbers 38/472, 597/289, 775/914 is

LCM of Numerators i.e. for 38,597,775 is 17581650

GCF of denominators i.e. for 472,289,914 is 1.

Thus, LCM of Fractions is 17581650.Finally, LCM of Fractions for 38/472, 597/289, 775/914 is 17581650.