Least Common Multiple of 85/465, 37/717, 213/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/465, 37/717, 213/420 quickly i.e. 223295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/465, 37/717, 213/420 is 223295.

LCM(85/465, 37/717, 213/420) = 223295

LCM of 85/465, 37/717, 213/420

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 85/465,37/717,213/420

Given numbers are 85/465,37/717,213/420

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 85,37,213

Least Common Multiple of Numerators i.e. LCM of 85,37,213 is 669885.

GCF of Denominators means GCF of 465,717,420 as per the given fractions.

GCF of 465,717,420 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,37,213

LCM of Fractions 85/465,37/717,213/420 is 223295

Given numbers has no common factors except 1. So, there LCM is their product i.e 669885

Least Common Multiple of 85,37,213 with GCF Formula

Least Common Multiple of 85,37,213 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 85,37,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,37,213) = 1

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

GCF(85,37,213) x common factors =1 x 1 = 1

LCM(85,37,213) = ( 85 × 37 × 213 ) / 1

LCM(85,37,213) = 669885 / 1

LCM(85,37,213) = 669885


Lets's calculate GCF of 465,717,420

3 465, 717, 420
155, 239, 140

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 669885/3

Therefore the LCM of Fractions 85/465,37/717,213/420 is 223295

Greatest Common Factor of 465,717,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,717,420 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 465,717,420 . The biggest common factor number is the GCF number.
So the greatest common factor 465,717,420 is 3.


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 85/465, 37/717, 213/420

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 85/465, 37/717, 213/420?

Answer: LCM of Numerators as per given numbers 85/465, 37/717, 213/420 is

LCM of Numerators i.e. for 85,37,213 is 669885

GCF of denominators i.e. for 465,717,420 is 3.

Thus, LCM of Fractions is 223295.Finally, LCM of Fractions for 85/465, 37/717, 213/420 is 223295.