Least Common Multiple of 217/440, 3493/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/440, 3493/653 quickly i.e. 108283 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/440, 3493/653 is 108283.

LCM(217/440, 3493/653) = 108283

LCM of 217/440, 3493/653

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 217/440,3493/653

Given numbers are 217/440,3493/653

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 217,3493

Least Common Multiple of Numerators i.e. LCM of 217,3493 is 108283.

GCF of Denominators means GCF of 440,653 as per the given fractions.

GCF of 440,653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,3493

LCM of Fractions 217/440,3493/653 is 108283

7 217, 3493
31, 499

∴ So the LCM of the given numbers is 7 x 31 x 499 = 108283

Least Common Multiple of 217,3493 with GCF Formula

Least Common Multiple of 217,3493 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 217,3493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,3493) = 7

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

GCF(217,3493) x common factors =7 x 1 = 7

LCM(217,3493) = ( 217 × 3493 ) / 7

LCM(217,3493) = 757981 / 7

LCM(217,3493) = 108283


Lets's calculate GCF of 440,653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108283/1

Therefore the LCM of Fractions 217/440,3493/653 is 108283

Greatest Common Factor of 440,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,653 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 440,653 . The biggest common factor number is the GCF number.
So the greatest common factor 440,653 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 217/440, 3493/653

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 217/440, 3493/653?

Answer: LCM of Numerators as per given numbers 217/440, 3493/653 is

LCM of Numerators i.e. for 217,3493 is 108283

GCF of denominators i.e. for 440,653 is 1.

Thus, LCM of Fractions is 108283.Finally, LCM of Fractions for 217/440, 3493/653 is 108283.