Least Common Multiple of 818/873, 349/237, 538/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 818/873, 349/237, 538/949 quickly i.e. 76794658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 818/873, 349/237, 538/949 is 76794658.

LCM(818/873, 349/237, 538/949) = 76794658

LCM of 818/873, 349/237, 538/949

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 818/873,349/237,538/949

Given numbers are 818/873,349/237,538/949

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 818,349,538

Least Common Multiple of Numerators i.e. LCM of 818,349,538 is 76794658.

GCF of Denominators means GCF of 873,237,949 as per the given fractions.

GCF of 873,237,949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 818,349,538

LCM of Fractions 818/873,349/237,538/949 is 76794658

2 818, 349, 538
409, 349, 269

∴ So the LCM of the given numbers is 2 x 409 x 349 x 269 = 76794658

Least Common Multiple of 818,349,538 with GCF Formula

Least Common Multiple of 818,349,538 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 818,349,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,349,538) = 1

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

GCF(818,349,538) x common factors =1 x 2 = 2

LCM(818,349,538) = ( 818 × 349 × 538 ) / 2

LCM(818,349,538) = 153589316 / 2

LCM(818,349,538) = 76794658


Lets's calculate GCF of 873,237,949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76794658/1

Therefore the LCM of Fractions 818/873,349/237,538/949 is 76794658

Greatest Common Factor of 873,237,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,237,949 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 873,237,949 . The biggest common factor number is the GCF number.
So the greatest common factor 873,237,949 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 818/873, 349/237, 538/949

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 818/873, 349/237, 538/949?

Answer: LCM of Numerators as per given numbers 818/873, 349/237, 538/949 is

LCM of Numerators i.e. for 818,349,538 is 76794658

GCF of denominators i.e. for 873,237,949 is 1.

Thus, LCM of Fractions is 76794658.Finally, LCM of Fractions for 818/873, 349/237, 538/949 is 76794658.