Least Common Multiple of 89/210, 383/278, 349/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/210, 383/278, 349/266 quickly i.e. 11896363/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/210, 383/278, 349/266 is 11896363/2.

LCM(89/210, 383/278, 349/266) = 11896363/2

LCM of 89/210, 383/278, 349/266

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 89/210,383/278,349/266

Given numbers are 89/210,383/278,349/266

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 89,383,349

Least Common Multiple of Numerators i.e. LCM of 89,383,349 is 11896363.

GCF of Denominators means GCF of 210,278,266 as per the given fractions.

GCF of 210,278,266 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,383,349

LCM of Fractions 89/210,383/278,349/266 is 11896363/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 11896363

Least Common Multiple of 89,383,349 with GCF Formula

Least Common Multiple of 89,383,349 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 89,383,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,383,349) = 1

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

GCF(89,383,349) x common factors =1 x 1 = 1

LCM(89,383,349) = ( 89 × 383 × 349 ) / 1

LCM(89,383,349) = 11896363 / 1

LCM(89,383,349) = 11896363


Lets's calculate GCF of 210,278,266

2 210, 278, 266
105, 139, 133

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11896363/2

Therefore the LCM of Fractions 89/210,383/278,349/266 is 11896363/2

Greatest Common Factor of 210,278,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,278,266 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 210,278,266 . The biggest common factor number is the GCF number.
So the greatest common factor 210,278,266 is 2.


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 89/210, 383/278, 349/266

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 89/210, 383/278, 349/266?

Answer: LCM of Numerators as per given numbers 89/210, 383/278, 349/266 is

LCM of Numerators i.e. for 89,383,349 is 11896363

GCF of denominators i.e. for 210,278,266 is 2.

Thus, LCM of Fractions is 11896363/2.Finally, LCM of Fractions for 89/210, 383/278, 349/266 is 11896363/2.