Least Common Multiple of 95/385, 259/523, 339/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/385, 259/523, 339/455 quickly i.e. 8341095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/385, 259/523, 339/455 is 8341095.

LCM(95/385, 259/523, 339/455) = 8341095

LCM of 95/385, 259/523, 339/455

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 95/385,259/523,339/455

Given numbers are 95/385,259/523,339/455

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 95,259,339

Least Common Multiple of Numerators i.e. LCM of 95,259,339 is 8341095.

GCF of Denominators means GCF of 385,523,455 as per the given fractions.

GCF of 385,523,455 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,259,339

LCM of Fractions 95/385,259/523,339/455 is 8341095

Given numbers has no common factors except 1. So, there LCM is their product i.e 8341095

Least Common Multiple of 95,259,339 with GCF Formula

Least Common Multiple of 95,259,339 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 95,259,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,259,339) = 1

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

GCF(95,259,339) x common factors =1 x 1 = 1

LCM(95,259,339) = ( 95 × 259 × 339 ) / 1

LCM(95,259,339) = 8341095 / 1

LCM(95,259,339) = 8341095


Lets's calculate GCF of 385,523,455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8341095/1

Therefore the LCM of Fractions 95/385,259/523,339/455 is 8341095

Greatest Common Factor of 385,523,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,523,455 By Matching Biggest Common Factor Method

Factors of 385

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

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

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 385,523,455 . The biggest common factor number is the GCF number.
So the greatest common factor 385,523,455 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 95/385, 259/523, 339/455

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 95/385, 259/523, 339/455?

Answer: LCM of Numerators as per given numbers 95/385, 259/523, 339/455 is

LCM of Numerators i.e. for 95,259,339 is 8341095

GCF of denominators i.e. for 385,523,455 is 1.

Thus, LCM of Fractions is 8341095.Finally, LCM of Fractions for 95/385, 259/523, 339/455 is 8341095.