Least Common Multiple of 159/26, 649/24, 924/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 159/26, 649/24, 924/958 quickly i.e. 1444674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 159/26, 649/24, 924/958 is 1444674.

LCM(159/26, 649/24, 924/958) = 1444674

LCM of 159/26, 649/24, 924/958

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 159/26,649/24,924/958

Given numbers are 159/26,649/24,924/958

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 159,649,924

Least Common Multiple of Numerators i.e. LCM of 159,649,924 is 2889348.

GCF of Denominators means GCF of 26,24,958 as per the given fractions.

GCF of 26,24,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 159,649,924

LCM of Fractions 159/26,649/24,924/958 is 1444674

3 159, 649, 924
11 53, 649, 308
53, 59, 28

∴ So the LCM of the given numbers is 3 x 11 x 53 x 59 x 28 = 2889348

Least Common Multiple of 159,649,924 with GCF Formula

Least Common Multiple of 159,649,924 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 159,649,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,649,924) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(159,649,924) x common factors =1 x 33 = 33

LCM(159,649,924) = ( 159 × 649 × 924 ) / 33

LCM(159,649,924) = 95348484 / 33

LCM(159,649,924) = 2889348


Lets's calculate GCF of 26,24,958

2 26, 24, 958
13, 12, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2889348/2

Therefore the LCM of Fractions 159/26,649/24,924/958 is 1444674

Greatest Common Factor of 26,24,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,24,958 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

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 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 26,24,958 . The biggest common factor number is the GCF number.
So the greatest common factor 26,24,958 is 2.


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 159/26, 649/24, 924/958

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 159/26, 649/24, 924/958?

Answer: LCM of Numerators as per given numbers 159/26, 649/24, 924/958 is

LCM of Numerators i.e. for 159,649,924 is 2889348

GCF of denominators i.e. for 26,24,958 is 2.

Thus, LCM of Fractions is 1444674.Finally, LCM of Fractions for 159/26, 649/24, 924/958 is 1444674.