Least Common Multiple of 85/403, 15/385, 918/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/403, 15/385, 918/463 quickly i.e. 4590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/403, 15/385, 918/463 is 4590.

LCM(85/403, 15/385, 918/463) = 4590

LCM of 85/403, 15/385, 918/463

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 85/403,15/385,918/463

Given numbers are 85/403,15/385,918/463

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 85,15,918

Least Common Multiple of Numerators i.e. LCM of 85,15,918 is 4590.

GCF of Denominators means GCF of 403,385,463 as per the given fractions.

GCF of 403,385,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,15,918

LCM of Fractions 85/403,15/385,918/463 is 4590

3 85, 15, 918
5 85, 5, 306
17 17, 1, 306
1, 1, 18

∴ So the LCM of the given numbers is 3 x 5 x 17 x 1 x 1 x 18 = 4590

Least Common Multiple of 85,15,918 with GCF Formula

Least Common Multiple of 85,15,918 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 85,15,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,15,918) = 1

common factors(in case of two or more numbers have common factors) = 255

GCF(85,15,918) x common factors =1 x 255 = 255

LCM(85,15,918) = ( 85 × 15 × 918 ) / 255

LCM(85,15,918) = 1170450 / 255

LCM(85,15,918) = 4590


Lets's calculate GCF of 403,385,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4590/1

Therefore the LCM of Fractions 85/403,15/385,918/463 is 4590

Greatest Common Factor of 403,385,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,385,463 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

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 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 403,385,463 . The biggest common factor number is the GCF number.
So the greatest common factor 403,385,463 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 85/403, 15/385, 918/463

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 85/403, 15/385, 918/463?

Answer: LCM of Numerators as per given numbers 85/403, 15/385, 918/463 is

LCM of Numerators i.e. for 85,15,918 is 4590

GCF of denominators i.e. for 403,385,463 is 1.

Thus, LCM of Fractions is 4590.Finally, LCM of Fractions for 85/403, 15/385, 918/463 is 4590.