Least Common Multiple of 659/40, 798/45, 224/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 659/40, 798/45, 224/72 quickly i.e. 8414112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/40, 798/45, 224/72 is 8414112.

LCM(659/40, 798/45, 224/72) = 8414112

LCM of 659/40, 798/45, 224/72

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 659/40,798/45,224/72

Given numbers are 659/40,798/45,224/72

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 659,798,224

Least Common Multiple of Numerators i.e. LCM of 659,798,224 is 8414112.

GCF of Denominators means GCF of 40,45,72 as per the given fractions.

GCF of 40,45,72 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,798,224

LCM of Fractions 659/40,798/45,224/72 is 8414112

2 659, 798, 224
7 659, 399, 112
659, 57, 16

∴ So the LCM of the given numbers is 2 x 7 x 659 x 57 x 16 = 8414112

Least Common Multiple of 659,798,224 with GCF Formula

Least Common Multiple of 659,798,224 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 659,798,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,798,224) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(659,798,224) x common factors =1 x 14 = 14

LCM(659,798,224) = ( 659 × 798 × 224 ) / 14

LCM(659,798,224) = 117797568 / 14

LCM(659,798,224) = 8414112


Lets's calculate GCF of 40,45,72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8414112/1

Therefore the LCM of Fractions 659/40,798/45,224/72 is 8414112

Greatest Common Factor of 40,45,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,45,72 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Greatest Common Factor

We found the factors 40,45,72 . The biggest common factor number is the GCF number.
So the greatest common factor 40,45,72 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 659/40, 798/45, 224/72

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 659/40, 798/45, 224/72?

Answer: LCM of Numerators as per given numbers 659/40, 798/45, 224/72 is

LCM of Numerators i.e. for 659,798,224 is 8414112

GCF of denominators i.e. for 40,45,72 is 1.

Thus, LCM of Fractions is 8414112.Finally, LCM of Fractions for 659/40, 798/45, 224/72 is 8414112.