Least Common Multiple of 64/298, 9213/5669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/298, 9213/5669 quickly i.e. 589632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/298, 9213/5669 is 589632.

LCM(64/298, 9213/5669) = 589632

LCM of 64/298, 9213/5669

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 64/298,9213/5669

Given numbers are 64/298,9213/5669

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 64,9213

Least Common Multiple of Numerators i.e. LCM of 64,9213 is 589632.

GCF of Denominators means GCF of 298,5669 as per the given fractions.

GCF of 298,5669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,9213

LCM of Fractions 64/298,9213/5669 is 589632

Given numbers has no common factors except 1. So, there LCM is their product i.e 589632

Least Common Multiple of 64,9213 with GCF Formula

Least Common Multiple of 64,9213 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 64,9213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,9213) = 1

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

GCF(64,9213) x common factors =1 x 1 = 1

LCM(64,9213) = ( 64 × 9213 ) / 1

LCM(64,9213) = 589632 / 1

LCM(64,9213) = 589632


Lets's calculate GCF of 298,5669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 589632/1

Therefore the LCM of Fractions 64/298,9213/5669 is 589632

Greatest Common Factor of 298,5669 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,5669 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 5669

List of positive integer factors of 5669 that divides 5669 without a remainder.

1,5669

Greatest Common Factor

We found the factors 298,5669 . The biggest common factor number is the GCF number.
So the greatest common factor 298,5669 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/298, 9213/5669

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 64/298, 9213/5669?

Answer: LCM of Numerators as per given numbers 64/298, 9213/5669 is

LCM of Numerators i.e. for 64,9213 is 589632

GCF of denominators i.e. for 298,5669 is 1.

Thus, LCM of Fractions is 589632.Finally, LCM of Fractions for 64/298, 9213/5669 is 589632.