Least Common Multiple of 89/271, 367/880, 149/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/271, 367/880, 149/608 quickly i.e. 4866787 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/271, 367/880, 149/608 is 4866787.

LCM(89/271, 367/880, 149/608) = 4866787

LCM of 89/271, 367/880, 149/608

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 89/271,367/880,149/608

Given numbers are 89/271,367/880,149/608

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 89,367,149

Least Common Multiple of Numerators i.e. LCM of 89,367,149 is 4866787.

GCF of Denominators means GCF of 271,880,608 as per the given fractions.

GCF of 271,880,608 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,367,149

LCM of Fractions 89/271,367/880,149/608 is 4866787

Given numbers has no common factors except 1. So, there LCM is their product i.e 4866787

Least Common Multiple of 89,367,149 with GCF Formula

Least Common Multiple of 89,367,149 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 89,367,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,367,149) = 1

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

GCF(89,367,149) x common factors =1 x 1 = 1

LCM(89,367,149) = ( 89 × 367 × 149 ) / 1

LCM(89,367,149) = 4866787 / 1

LCM(89,367,149) = 4866787


Lets's calculate GCF of 271,880,608

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4866787/1

Therefore the LCM of Fractions 89/271,367/880,149/608 is 4866787

Greatest Common Factor of 271,880,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,880,608 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 271,880,608 . The biggest common factor number is the GCF number.
So the greatest common factor 271,880,608 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 89/271, 367/880, 149/608

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 89/271, 367/880, 149/608?

Answer: LCM of Numerators as per given numbers 89/271, 367/880, 149/608 is

LCM of Numerators i.e. for 89,367,149 is 4866787

GCF of denominators i.e. for 271,880,608 is 1.

Thus, LCM of Fractions is 4866787.Finally, LCM of Fractions for 89/271, 367/880, 149/608 is 4866787.