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LCM of 241, 949, 845, 933

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 241, 949, 845, 933 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 241, 949, 845, 933. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,949,845,933

Given numbers are 241,949,845,933

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 241,949,845,933 is 13870057305.

Find LCM of 241,949,845,933 with Prime Factorization


13 241, 949, 845, 933
241, 73, 65, 933

Multiply the prime numbers at the bottom and the left side.

13 x 241 x 73 x 65 x 933 = 13870057305

Therefore, the lowest common multiple of 241,949,845,933 is 13870057305.

LCM Formula to Find Lowest Common Multiple of 241,949,845,933

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

241 x 949 x 845 x 933 = 180310744965

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

241 : 1, 241

949 : 1, 13, 73, 949

845 : 1, 5, 13, 65, 169, 845

933 : 1, 3, 311, 933

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,949,845,933, is 1.

Now, the common factors can be found like this.

241:241

949:13x 73

845:5x 13x 13

933:3x 311

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 180310744965/(1x13)

LCM = 180310744965/13

LCM = 13870057305

Thus, we can understand that the LCM of 241,949,845,933 is 13870057305.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 949, 845, 933

1. What is the LCM of 241, 949, 845, 933?

Answer: LCM of 241, 949, 845, 933 is 13870057305.

2. How to calculate the LCM of 241, 949, 845, 933?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 241, 949, 845, 933.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.