Least Common Multiple of 464/407, 938/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/407, 938/299 quickly i.e. 217616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/407, 938/299 is 217616.

LCM(464/407, 938/299) = 217616

LCM of 464/407, 938/299

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 464/407,938/299

Given numbers are 464/407,938/299

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 464,938

Least Common Multiple of Numerators i.e. LCM of 464,938 is 217616.

GCF of Denominators means GCF of 407,299 as per the given fractions.

GCF of 407,299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,938

LCM of Fractions 464/407,938/299 is 217616

2 464, 938
232, 469

∴ So the LCM of the given numbers is 2 x 232 x 469 = 217616

Least Common Multiple of 464,938 with GCF Formula

Least Common Multiple of 464,938 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 464,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,938) = 2

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

GCF(464,938) x common factors =2 x 1 = 2

LCM(464,938) = ( 464 × 938 ) / 2

LCM(464,938) = 435232 / 2

LCM(464,938) = 217616


Lets's calculate GCF of 407,299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217616/1

Therefore the LCM of Fractions 464/407,938/299 is 217616

Greatest Common Factor of 407,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,299 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 407,299 . The biggest common factor number is the GCF number.
So the greatest common factor 407,299 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 464/407, 938/299

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 464/407, 938/299?

Answer: LCM of Numerators as per given numbers 464/407, 938/299 is

LCM of Numerators i.e. for 464,938 is 217616

GCF of denominators i.e. for 407,299 is 1.

Thus, LCM of Fractions is 217616.Finally, LCM of Fractions for 464/407, 938/299 is 217616.