Least Common Multiple of 85/328, 53/439, 461/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/328, 53/439, 461/658 quickly i.e. 2076805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/328, 53/439, 461/658 is 2076805.

LCM(85/328, 53/439, 461/658) = 2076805

LCM of 85/328, 53/439, 461/658

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 85/328,53/439,461/658

Given numbers are 85/328,53/439,461/658

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 85,53,461

Least Common Multiple of Numerators i.e. LCM of 85,53,461 is 2076805.

GCF of Denominators means GCF of 328,439,658 as per the given fractions.

GCF of 328,439,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,53,461

LCM of Fractions 85/328,53/439,461/658 is 2076805

Given numbers has no common factors except 1. So, there LCM is their product i.e 2076805

Least Common Multiple of 85,53,461 with GCF Formula

Least Common Multiple of 85,53,461 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 85,53,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,53,461) = 1

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

GCF(85,53,461) x common factors =1 x 1 = 1

LCM(85,53,461) = ( 85 × 53 × 461 ) / 1

LCM(85,53,461) = 2076805 / 1

LCM(85,53,461) = 2076805


Lets's calculate GCF of 328,439,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2076805/1

Therefore the LCM of Fractions 85/328,53/439,461/658 is 2076805

Greatest Common Factor of 328,439,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,439,658 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 328,439,658 . The biggest common factor number is the GCF number.
So the greatest common factor 328,439,658 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 85/328, 53/439, 461/658

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 85/328, 53/439, 461/658?

Answer: LCM of Numerators as per given numbers 85/328, 53/439, 461/658 is

LCM of Numerators i.e. for 85,53,461 is 2076805

GCF of denominators i.e. for 328,439,658 is 1.

Thus, LCM of Fractions is 2076805.Finally, LCM of Fractions for 85/328, 53/439, 461/658 is 2076805.