Least Common Multiple of 849/72, 400/4577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/72, 400/4577 quickly i.e. 339600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/72, 400/4577 is 339600.

LCM(849/72, 400/4577) = 339600

LCM of 849/72, 400/4577

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 849/72,400/4577

Given numbers are 849/72,400/4577

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 849,400

Least Common Multiple of Numerators i.e. LCM of 849,400 is 339600.

GCF of Denominators means GCF of 72,4577 as per the given fractions.

GCF of 72,4577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,400

LCM of Fractions 849/72,400/4577 is 339600

Given numbers has no common factors except 1. So, there LCM is their product i.e 339600

Least Common Multiple of 849,400 with GCF Formula

Least Common Multiple of 849,400 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 849,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,400) = 1

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

GCF(849,400) x common factors =1 x 1 = 1

LCM(849,400) = ( 849 × 400 ) / 1

LCM(849,400) = 339600 / 1

LCM(849,400) = 339600


Lets's calculate GCF of 72,4577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339600/1

Therefore the LCM of Fractions 849/72,400/4577 is 339600

Greatest Common Factor of 72,4577 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,4577 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 4577

List of positive integer factors of 4577 that divides 4577 without a remainder.

1,23,199,4577

Greatest Common Factor

We found the factors 72,4577 . The biggest common factor number is the GCF number.
So the greatest common factor 72,4577 is 1.


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 849/72, 400/4577

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 849/72, 400/4577?

Answer: LCM of Numerators as per given numbers 849/72, 400/4577 is

LCM of Numerators i.e. for 849,400 is 339600

GCF of denominators i.e. for 72,4577 is 1.

Thus, LCM of Fractions is 339600.Finally, LCM of Fractions for 849/72, 400/4577 is 339600.