Least Common Multiple of 85/217, 67/284, 162/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/217, 67/284, 162/446 quickly i.e. 922590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/217, 67/284, 162/446 is 922590.

LCM(85/217, 67/284, 162/446) = 922590

LCM of 85/217, 67/284, 162/446

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 85/217,67/284,162/446

Given numbers are 85/217,67/284,162/446

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 85,67,162

Least Common Multiple of Numerators i.e. LCM of 85,67,162 is 922590.

GCF of Denominators means GCF of 217,284,446 as per the given fractions.

GCF of 217,284,446 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,67,162

LCM of Fractions 85/217,67/284,162/446 is 922590

Given numbers has no common factors except 1. So, there LCM is their product i.e 922590

Least Common Multiple of 85,67,162 with GCF Formula

Least Common Multiple of 85,67,162 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 85,67,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,67,162) = 1

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

GCF(85,67,162) x common factors =1 x 1 = 1

LCM(85,67,162) = ( 85 × 67 × 162 ) / 1

LCM(85,67,162) = 922590 / 1

LCM(85,67,162) = 922590


Lets's calculate GCF of 217,284,446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 922590/1

Therefore the LCM of Fractions 85/217,67/284,162/446 is 922590

Greatest Common Factor of 217,284,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,284,446 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 217,284,446 . The biggest common factor number is the GCF number.
So the greatest common factor 217,284,446 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 85/217, 67/284, 162/446

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 85/217, 67/284, 162/446?

Answer: LCM of Numerators as per given numbers 85/217, 67/284, 162/446 is

LCM of Numerators i.e. for 85,67,162 is 922590

GCF of denominators i.e. for 217,284,446 is 1.

Thus, LCM of Fractions is 922590.Finally, LCM of Fractions for 85/217, 67/284, 162/446 is 922590.