Least Common Multiple of 68/410, 393/720, 167/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/410, 393/720, 167/656 quickly i.e. 2231454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/410, 393/720, 167/656 is 2231454.

LCM(68/410, 393/720, 167/656) = 2231454

LCM of 68/410, 393/720, 167/656

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 68/410,393/720,167/656

Given numbers are 68/410,393/720,167/656

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 68,393,167

Least Common Multiple of Numerators i.e. LCM of 68,393,167 is 4462908.

GCF of Denominators means GCF of 410,720,656 as per the given fractions.

GCF of 410,720,656 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,393,167

LCM of Fractions 68/410,393/720,167/656 is 2231454

Given numbers has no common factors except 1. So, there LCM is their product i.e 4462908

Least Common Multiple of 68,393,167 with GCF Formula

Least Common Multiple of 68,393,167 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 68,393,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,393,167) = 1

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

GCF(68,393,167) x common factors =1 x 1 = 1

LCM(68,393,167) = ( 68 × 393 × 167 ) / 1

LCM(68,393,167) = 4462908 / 1

LCM(68,393,167) = 4462908


Lets's calculate GCF of 410,720,656

2 410, 720, 656
205, 360, 328

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4462908/2

Therefore the LCM of Fractions 68/410,393/720,167/656 is 2231454

Greatest Common Factor of 410,720,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,720,656 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 410,720,656 . The biggest common factor number is the GCF number.
So the greatest common factor 410,720,656 is 2.


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 68/410, 393/720, 167/656

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 68/410, 393/720, 167/656?

Answer: LCM of Numerators as per given numbers 68/410, 393/720, 167/656 is

LCM of Numerators i.e. for 68,393,167 is 4462908

GCF of denominators i.e. for 410,720,656 is 2.

Thus, LCM of Fractions is 2231454.Finally, LCM of Fractions for 68/410, 393/720, 167/656 is 2231454.