Least Common Multiple of 16/322, 85/318, 830/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/322, 85/318, 830/634 quickly i.e. 56440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/322, 85/318, 830/634 is 56440.

LCM(16/322, 85/318, 830/634) = 56440

LCM of 16/322, 85/318, 830/634

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 16/322,85/318,830/634

Given numbers are 16/322,85/318,830/634

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 16,85,830

Least Common Multiple of Numerators i.e. LCM of 16,85,830 is 112880.

GCF of Denominators means GCF of 322,318,634 as per the given fractions.

GCF of 322,318,634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,85,830

LCM of Fractions 16/322,85/318,830/634 is 56440

2 16, 85, 830
5 8, 85, 415
8, 17, 83

∴ So the LCM of the given numbers is 2 x 5 x 8 x 17 x 83 = 112880

Least Common Multiple of 16,85,830 with GCF Formula

Least Common Multiple of 16,85,830 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 16,85,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,85,830) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(16,85,830) x common factors =1 x 10 = 10

LCM(16,85,830) = ( 16 × 85 × 830 ) / 10

LCM(16,85,830) = 1128800 / 10

LCM(16,85,830) = 112880


Lets's calculate GCF of 322,318,634

2 322, 318, 634
161, 159, 317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112880/2

Therefore the LCM of Fractions 16/322,85/318,830/634 is 56440

Greatest Common Factor of 322,318,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,318,634 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 322,318,634 . The biggest common factor number is the GCF number.
So the greatest common factor 322,318,634 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 16/322, 85/318, 830/634

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 16/322, 85/318, 830/634?

Answer: LCM of Numerators as per given numbers 16/322, 85/318, 830/634 is

LCM of Numerators i.e. for 16,85,830 is 112880

GCF of denominators i.e. for 322,318,634 is 2.

Thus, LCM of Fractions is 56440.Finally, LCM of Fractions for 16/322, 85/318, 830/634 is 56440.