Least Common Multiple of 888/611, 849/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 888/611, 849/305 quickly i.e. 251304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 888/611, 849/305 is 251304.

LCM(888/611, 849/305) = 251304

LCM of 888/611, 849/305

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 888/611,849/305

Given numbers are 888/611,849/305

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 888,849

Least Common Multiple of Numerators i.e. LCM of 888,849 is 251304.

GCF of Denominators means GCF of 611,305 as per the given fractions.

GCF of 611,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 888,849

LCM of Fractions 888/611,849/305 is 251304

3 888, 849
296, 283

∴ So the LCM of the given numbers is 3 x 296 x 283 = 251304

Least Common Multiple of 888,849 with GCF Formula

Least Common Multiple of 888,849 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 888,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,849) = 3

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

GCF(888,849) x common factors =3 x 1 = 3

LCM(888,849) = ( 888 × 849 ) / 3

LCM(888,849) = 753912 / 3

LCM(888,849) = 251304


Lets's calculate GCF of 611,305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251304/1

Therefore the LCM of Fractions 888/611,849/305 is 251304

Greatest Common Factor of 611,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,305 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 611,305 . The biggest common factor number is the GCF number.
So the greatest common factor 611,305 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 888/611, 849/305

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 888/611, 849/305?

Answer: LCM of Numerators as per given numbers 888/611, 849/305 is

LCM of Numerators i.e. for 888,849 is 251304

GCF of denominators i.e. for 611,305 is 1.

Thus, LCM of Fractions is 251304.Finally, LCM of Fractions for 888/611, 849/305 is 251304.