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LCM of 924, 912, 738, 734, 433

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


Find the LCM of 924, 912, 738, 734, 433 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 924, 912, 738, 734, 433. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 924,912,738,734,433

Given numbers are 924,912,738,734,433

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

The LCM of 924,912,738,734,433 is 1372602025872.

Find LCM of 924,912,738,734,433 with Prime Factorization


2 924, 912, 738, 734, 433
2 462, 456, 369, 367, 433
3 231, 228, 369, 367, 433
77, 76, 123, 367, 433

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

2 x 2 x 3 x 77 x 76 x 123 x 367 x 433 = 1372602025872

Therefore, the lowest common multiple of 924,912,738,734,433 is 1372602025872.

LCM Formula to Find Lowest Common Multiple of 924,912,738,734,433

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.

924 x 912 x 738 x 734 x 433 = 197654691725568

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.

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

734 : 1, 2, 367, 734

433 : 1, 433

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,912,738,734,433, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

912:2x 2x 2x 2x 3x 19

738:2x 3x 3x 41

734:2x 367

433:433

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

2x 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 197654691725568/(1x144)

LCM = 197654691725568/144

LCM = 1372602025872

Thus, we can understand that the LCM of 924,912,738,734,433 is 1372602025872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 924, 912, 738, 734, 433

1. What is the LCM of 924, 912, 738, 734, 433?

Answer: LCM of 924, 912, 738, 734, 433 is 1372602025872.

2. How to calculate the LCM of 924, 912, 738, 734, 433?

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 924, 912, 738, 734, 433.

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}.