Least Common Multiple of 271/638, 758/756, 897/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 271/638, 758/756, 897/499 quickly i.e. 184259946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 271/638, 758/756, 897/499 is 184259946.

LCM(271/638, 758/756, 897/499) = 184259946

LCM of 271/638, 758/756, 897/499

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 271/638,758/756,897/499

Given numbers are 271/638,758/756,897/499

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 271,758,897

Least Common Multiple of Numerators i.e. LCM of 271,758,897 is 184259946.

GCF of Denominators means GCF of 638,756,499 as per the given fractions.

GCF of 638,756,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 271,758,897

LCM of Fractions 271/638,758/756,897/499 is 184259946

Given numbers has no common factors except 1. So, there LCM is their product i.e 184259946

Least Common Multiple of 271,758,897 with GCF Formula

Least Common Multiple of 271,758,897 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 271,758,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,758,897) = 1

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

GCF(271,758,897) x common factors =1 x 1 = 1

LCM(271,758,897) = ( 271 × 758 × 897 ) / 1

LCM(271,758,897) = 184259946 / 1

LCM(271,758,897) = 184259946


Lets's calculate GCF of 638,756,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184259946/1

Therefore the LCM of Fractions 271/638,758/756,897/499 is 184259946

Greatest Common Factor of 638,756,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,756,499 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 638,756,499 . The biggest common factor number is the GCF number.
So the greatest common factor 638,756,499 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 271/638, 758/756, 897/499

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 271/638, 758/756, 897/499?

Answer: LCM of Numerators as per given numbers 271/638, 758/756, 897/499 is

LCM of Numerators i.e. for 271,758,897 is 184259946

GCF of denominators i.e. for 638,756,499 is 1.

Thus, LCM of Fractions is 184259946.Finally, LCM of Fractions for 271/638, 758/756, 897/499 is 184259946.