Least Common Multiple of 1459/924, 1241/9328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1459/924, 1241/9328 quickly i.e. 1810619/44 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1459/924, 1241/9328 is 1810619/44.

LCM(1459/924, 1241/9328) = 1810619/44

LCM of 1459/924, 1241/9328

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 1459/924,1241/9328

Given numbers are 1459/924,1241/9328

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 1459,1241

Least Common Multiple of Numerators i.e. LCM of 1459,1241 is 1810619.

GCF of Denominators means GCF of 924,9328 as per the given fractions.

GCF of 924,9328 is 44 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1459,1241

LCM of Fractions 1459/924,1241/9328 is 1810619/44

Given numbers has no common factors except 1. So, there LCM is their product i.e 1810619

Least Common Multiple of 1459,1241 with GCF Formula

Least Common Multiple of 1459,1241 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 1459,1241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1459,1241) = 1

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

GCF(1459,1241) x common factors =1 x 1 = 1

LCM(1459,1241) = ( 1459 × 1241 ) / 1

LCM(1459,1241) = 1810619 / 1

LCM(1459,1241) = 1810619


Lets's calculate GCF of 924,9328

2 924, 9328
2 462, 4664
11 231, 2332
21, 212

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1810619/44

Therefore the LCM of Fractions 1459/924,1241/9328 is 1810619/44

Greatest Common Factor of 924,9328 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,9328 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 9328

List of positive integer factors of 9328 that divides 9328 without a remainder.

1,2,4,8,11,16,22,44,53,88,106,176,212,424,583,848,1166,2332,4664,9328

Greatest Common Factor

We found the factors 924,9328 . The biggest common factor number is the GCF number.
So the greatest common factor 924,9328 is 44.


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 1459/924, 1241/9328

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 1459/924, 1241/9328?

Answer: LCM of Numerators as per given numbers 1459/924, 1241/9328 is

LCM of Numerators i.e. for 1459,1241 is 1810619

GCF of denominators i.e. for 924,9328 is 44.

Thus, LCM of Fractions is 1810619/44.Finally, LCM of Fractions for 1459/924, 1241/9328 is 1810619/44.