Least Common Multiple of 208/30, 693/24, 647/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/30, 693/24, 647/179 quickly i.e. 93261168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/30, 693/24, 647/179 is 93261168.

LCM(208/30, 693/24, 647/179) = 93261168

LCM of 208/30, 693/24, 647/179

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 208/30,693/24,647/179

Given numbers are 208/30,693/24,647/179

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 208,693,647

Least Common Multiple of Numerators i.e. LCM of 208,693,647 is 93261168.

GCF of Denominators means GCF of 30,24,179 as per the given fractions.

GCF of 30,24,179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,693,647

LCM of Fractions 208/30,693/24,647/179 is 93261168

Given numbers has no common factors except 1. So, there LCM is their product i.e 93261168

Least Common Multiple of 208,693,647 with GCF Formula

Least Common Multiple of 208,693,647 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 208,693,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,693,647) = 1

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

GCF(208,693,647) x common factors =1 x 1 = 1

LCM(208,693,647) = ( 208 × 693 × 647 ) / 1

LCM(208,693,647) = 93261168 / 1

LCM(208,693,647) = 93261168


Lets's calculate GCF of 30,24,179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93261168/1

Therefore the LCM of Fractions 208/30,693/24,647/179 is 93261168

Greatest Common Factor of 30,24,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,24,179 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 30,24,179 . The biggest common factor number is the GCF number.
So the greatest common factor 30,24,179 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 208/30, 693/24, 647/179

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 208/30, 693/24, 647/179?

Answer: LCM of Numerators as per given numbers 208/30, 693/24, 647/179 is

LCM of Numerators i.e. for 208,693,647 is 93261168

GCF of denominators i.e. for 30,24,179 is 1.

Thus, LCM of Fractions is 93261168.Finally, LCM of Fractions for 208/30, 693/24, 647/179 is 93261168.