Least Common Multiple of 3464/573, 8877/8397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3464/573, 8877/8397 quickly i.e. 10249976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3464/573, 8877/8397 is 10249976.

LCM(3464/573, 8877/8397) = 10249976

LCM of 3464/573, 8877/8397

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 3464/573,8877/8397

Given numbers are 3464/573,8877/8397

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 3464,8877

Least Common Multiple of Numerators i.e. LCM of 3464,8877 is 30749928.

GCF of Denominators means GCF of 573,8397 as per the given fractions.

GCF of 573,8397 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3464,8877

LCM of Fractions 3464/573,8877/8397 is 10249976

Given numbers has no common factors except 1. So, there LCM is their product i.e 30749928

Least Common Multiple of 3464,8877 with GCF Formula

Least Common Multiple of 3464,8877 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 3464,8877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3464,8877) = 1

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

GCF(3464,8877) x common factors =1 x 1 = 1

LCM(3464,8877) = ( 3464 × 8877 ) / 1

LCM(3464,8877) = 30749928 / 1

LCM(3464,8877) = 30749928


Lets's calculate GCF of 573,8397

3 573, 8397
191, 2799

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30749928/3

Therefore the LCM of Fractions 3464/573,8877/8397 is 10249976

Greatest Common Factor of 573,8397 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,8397 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 8397

List of positive integer factors of 8397 that divides 8397 without a remainder.

1,3,9,27,311,933,2799,8397

Greatest Common Factor

We found the factors 573,8397 . The biggest common factor number is the GCF number.
So the greatest common factor 573,8397 is 3.


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 3464/573, 8877/8397

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 3464/573, 8877/8397?

Answer: LCM of Numerators as per given numbers 3464/573, 8877/8397 is

LCM of Numerators i.e. for 3464,8877 is 30749928

GCF of denominators i.e. for 573,8397 is 3.

Thus, LCM of Fractions is 10249976.Finally, LCM of Fractions for 3464/573, 8877/8397 is 10249976.