Least Common Multiple of 499/551, 271/869, 275/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 499/551, 271/869, 275/268 quickly i.e. 37187975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 499/551, 271/869, 275/268 is 37187975.

LCM(499/551, 271/869, 275/268) = 37187975

LCM of 499/551, 271/869, 275/268

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 499/551,271/869,275/268

Given numbers are 499/551,271/869,275/268

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 499,271,275

Least Common Multiple of Numerators i.e. LCM of 499,271,275 is 37187975.

GCF of Denominators means GCF of 551,869,268 as per the given fractions.

GCF of 551,869,268 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 499,271,275

LCM of Fractions 499/551,271/869,275/268 is 37187975

Given numbers has no common factors except 1. So, there LCM is their product i.e 37187975

Least Common Multiple of 499,271,275 with GCF Formula

Least Common Multiple of 499,271,275 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 499,271,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,271,275) = 1

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

GCF(499,271,275) x common factors =1 x 1 = 1

LCM(499,271,275) = ( 499 × 271 × 275 ) / 1

LCM(499,271,275) = 37187975 / 1

LCM(499,271,275) = 37187975


Lets's calculate GCF of 551,869,268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37187975/1

Therefore the LCM of Fractions 499/551,271/869,275/268 is 37187975

Greatest Common Factor of 551,869,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,869,268 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 551,869,268 . The biggest common factor number is the GCF number.
So the greatest common factor 551,869,268 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 499/551, 271/869, 275/268

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 499/551, 271/869, 275/268?

Answer: LCM of Numerators as per given numbers 499/551, 271/869, 275/268 is

LCM of Numerators i.e. for 499,271,275 is 37187975

GCF of denominators i.e. for 551,869,268 is 1.

Thus, LCM of Fractions is 37187975.Finally, LCM of Fractions for 499/551, 271/869, 275/268 is 37187975.