Least Common Multiple of 3573/464, 4799/9840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3573/464, 4799/9840 quickly i.e. 17146827/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3573/464, 4799/9840 is 17146827/16.

LCM(3573/464, 4799/9840) = 17146827/16

LCM of 3573/464, 4799/9840

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 3573/464,4799/9840

Given numbers are 3573/464,4799/9840

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 3573,4799

Least Common Multiple of Numerators i.e. LCM of 3573,4799 is 17146827.

GCF of Denominators means GCF of 464,9840 as per the given fractions.

GCF of 464,9840 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3573,4799

LCM of Fractions 3573/464,4799/9840 is 17146827/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 17146827

Least Common Multiple of 3573,4799 with GCF Formula

Least Common Multiple of 3573,4799 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 3573,4799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3573,4799) = 1

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

GCF(3573,4799) x common factors =1 x 1 = 1

LCM(3573,4799) = ( 3573 × 4799 ) / 1

LCM(3573,4799) = 17146827 / 1

LCM(3573,4799) = 17146827


Lets's calculate GCF of 464,9840

2 464, 9840
2 232, 4920
2 116, 2460
2 58, 1230
29, 615

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17146827/16

Therefore the LCM of Fractions 3573/464,4799/9840 is 17146827/16

Greatest Common Factor of 464,9840 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,9840 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 9840

List of positive integer factors of 9840 that divides 9840 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,41,48,60,80,82,120,123,164,205,240,246,328,410,492,615,656,820,984,1230,1640,1968,2460,3280,4920,9840

Greatest Common Factor

We found the factors 464,9840 . The biggest common factor number is the GCF number.
So the greatest common factor 464,9840 is 16.


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 3573/464, 4799/9840

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 3573/464, 4799/9840?

Answer: LCM of Numerators as per given numbers 3573/464, 4799/9840 is

LCM of Numerators i.e. for 3573,4799 is 17146827

GCF of denominators i.e. for 464,9840 is 16.

Thus, LCM of Fractions is 17146827/16.Finally, LCM of Fractions for 3573/464, 4799/9840 is 17146827/16.