Least Common Multiple of 217/36, 604/87, 690/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/36, 604/87, 690/640 quickly i.e. 45218460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/36, 604/87, 690/640 is 45218460.

LCM(217/36, 604/87, 690/640) = 45218460

LCM of 217/36, 604/87, 690/640

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 217/36,604/87,690/640

Given numbers are 217/36,604/87,690/640

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 217,604,690

Least Common Multiple of Numerators i.e. LCM of 217,604,690 is 45218460.

GCF of Denominators means GCF of 36,87,640 as per the given fractions.

GCF of 36,87,640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,604,690

LCM of Fractions 217/36,604/87,690/640 is 45218460

2 217, 604, 690
217, 302, 345

∴ So the LCM of the given numbers is 2 x 217 x 302 x 345 = 45218460

Least Common Multiple of 217,604,690 with GCF Formula

Least Common Multiple of 217,604,690 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 217,604,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,604,690) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(217,604,690) x common factors =1 x 2 = 2

LCM(217,604,690) = ( 217 × 604 × 690 ) / 2

LCM(217,604,690) = 90436920 / 2

LCM(217,604,690) = 45218460


Lets's calculate GCF of 36,87,640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45218460/1

Therefore the LCM of Fractions 217/36,604/87,690/640 is 45218460

Greatest Common Factor of 36,87,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,87,640 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 36,87,640 . The biggest common factor number is the GCF number.
So the greatest common factor 36,87,640 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 217/36, 604/87, 690/640

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 217/36, 604/87, 690/640?

Answer: LCM of Numerators as per given numbers 217/36, 604/87, 690/640 is

LCM of Numerators i.e. for 217,604,690 is 45218460

GCF of denominators i.e. for 36,87,640 is 1.

Thus, LCM of Fractions is 45218460.Finally, LCM of Fractions for 217/36, 604/87, 690/640 is 45218460.