Least Common Multiple of 608/11, 568/1445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 608/11, 568/1445 quickly i.e. 43168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 608/11, 568/1445 is 43168.

LCM(608/11, 568/1445) = 43168

LCM of 608/11, 568/1445

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 608/11,568/1445

Given numbers are 608/11,568/1445

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 608,568

Least Common Multiple of Numerators i.e. LCM of 608,568 is 43168.

GCF of Denominators means GCF of 11,1445 as per the given fractions.

GCF of 11,1445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 608,568

LCM of Fractions 608/11,568/1445 is 43168

2 608, 568
2 304, 284
2 152, 142
76, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 76 x 71 = 43168

Least Common Multiple of 608,568 with GCF Formula

Least Common Multiple of 608,568 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 608,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,568) = 8

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

GCF(608,568) x common factors =8 x 1 = 8

LCM(608,568) = ( 608 × 568 ) / 8

LCM(608,568) = 345344 / 8

LCM(608,568) = 43168


Lets's calculate GCF of 11,1445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43168/1

Therefore the LCM of Fractions 608/11,568/1445 is 43168

Greatest Common Factor of 11,1445 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,1445 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 1445

List of positive integer factors of 1445 that divides 1445 without a remainder.

1,5,17,85,289,1445

Greatest Common Factor

We found the factors 11,1445 . The biggest common factor number is the GCF number.
So the greatest common factor 11,1445 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 608/11, 568/1445

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 608/11, 568/1445?

Answer: LCM of Numerators as per given numbers 608/11, 568/1445 is

LCM of Numerators i.e. for 608,568 is 43168

GCF of denominators i.e. for 11,1445 is 1.

Thus, LCM of Fractions is 43168.Finally, LCM of Fractions for 608/11, 568/1445 is 43168.