Least Common Multiple of 11/279, 760/361, 659/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/279, 760/361, 659/385 quickly i.e. 5509240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/279, 760/361, 659/385 is 5509240.

LCM(11/279, 760/361, 659/385) = 5509240

LCM of 11/279, 760/361, 659/385

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 11/279,760/361,659/385

Given numbers are 11/279,760/361,659/385

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 11,760,659

Least Common Multiple of Numerators i.e. LCM of 11,760,659 is 5509240.

GCF of Denominators means GCF of 279,361,385 as per the given fractions.

GCF of 279,361,385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,760,659

LCM of Fractions 11/279,760/361,659/385 is 5509240

Given numbers has no common factors except 1. So, there LCM is their product i.e 5509240

Least Common Multiple of 11,760,659 with GCF Formula

Least Common Multiple of 11,760,659 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 11,760,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,760,659) = 1

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

GCF(11,760,659) x common factors =1 x 1 = 1

LCM(11,760,659) = ( 11 × 760 × 659 ) / 1

LCM(11,760,659) = 5509240 / 1

LCM(11,760,659) = 5509240


Lets's calculate GCF of 279,361,385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5509240/1

Therefore the LCM of Fractions 11/279,760/361,659/385 is 5509240

Greatest Common Factor of 279,361,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,361,385 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 279,361,385 . The biggest common factor number is the GCF number.
So the greatest common factor 279,361,385 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 11/279, 760/361, 659/385

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 11/279, 760/361, 659/385?

Answer: LCM of Numerators as per given numbers 11/279, 760/361, 659/385 is

LCM of Numerators i.e. for 11,760,659 is 5509240

GCF of denominators i.e. for 279,361,385 is 1.

Thus, LCM of Fractions is 5509240.Finally, LCM of Fractions for 11/279, 760/361, 659/385 is 5509240.