Least Common Multiple of 38/973, 11/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/973, 11/497 quickly i.e. 418/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/973, 11/497 is 418/7.

LCM(38/973, 11/497) = 418/7

LCM of 38/973, 11/497

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 38/973,11/497

Given numbers are 38/973,11/497

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 38,11

Least Common Multiple of Numerators i.e. LCM of 38,11 is 418.

GCF of Denominators means GCF of 973,497 as per the given fractions.

GCF of 973,497 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,11

LCM of Fractions 38/973,11/497 is 418/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 418

Least Common Multiple of 38,11 with GCF Formula

Least Common Multiple of 38,11 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 38,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,11) = 1

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

GCF(38,11) x common factors =1 x 1 = 1

LCM(38,11) = ( 38 × 11 ) / 1

LCM(38,11) = 418 / 1

LCM(38,11) = 418


Lets's calculate GCF of 973,497

7 973, 497
139, 71

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418/7

Therefore the LCM of Fractions 38/973,11/497 is 418/7

Greatest Common Factor of 973,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,497 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 973,497 . The biggest common factor number is the GCF number.
So the greatest common factor 973,497 is 7.


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 38/973, 11/497

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 38/973, 11/497?

Answer: LCM of Numerators as per given numbers 38/973, 11/497 is

LCM of Numerators i.e. for 38,11 is 418

GCF of denominators i.e. for 973,497 is 7.

Thus, LCM of Fractions is 418/7.Finally, LCM of Fractions for 38/973, 11/497 is 418/7.