Least Common Multiple of 151/24, 449/7324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 151/24, 449/7324 quickly i.e. 67799/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 151/24, 449/7324 is 67799/4.

LCM(151/24, 449/7324) = 67799/4

LCM of 151/24, 449/7324

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 151/24,449/7324

Given numbers are 151/24,449/7324

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 151,449

Least Common Multiple of Numerators i.e. LCM of 151,449 is 67799.

GCF of Denominators means GCF of 24,7324 as per the given fractions.

GCF of 24,7324 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 151,449

LCM of Fractions 151/24,449/7324 is 67799/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 67799

Least Common Multiple of 151,449 with GCF Formula

Least Common Multiple of 151,449 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 151,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,449) = 1

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

GCF(151,449) x common factors =1 x 1 = 1

LCM(151,449) = ( 151 × 449 ) / 1

LCM(151,449) = 67799 / 1

LCM(151,449) = 67799


Lets's calculate GCF of 24,7324

2 24, 7324
2 12, 3662
6, 1831

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67799/4

Therefore the LCM of Fractions 151/24,449/7324 is 67799/4

Greatest Common Factor of 24,7324 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,7324 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 7324

List of positive integer factors of 7324 that divides 7324 without a remainder.

1,2,4,1831,3662,7324

Greatest Common Factor

We found the factors 24,7324 . The biggest common factor number is the GCF number.
So the greatest common factor 24,7324 is 4.


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 151/24, 449/7324

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 151/24, 449/7324?

Answer: LCM of Numerators as per given numbers 151/24, 449/7324 is

LCM of Numerators i.e. for 151,449 is 67799

GCF of denominators i.e. for 24,7324 is 4.

Thus, LCM of Fractions is 67799/4.Finally, LCM of Fractions for 151/24, 449/7324 is 67799/4.