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LCM of 793, 433, 904, 624, 547

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


Find the LCM of 793, 433, 904, 624, 547 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 793, 433, 904, 624, 547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 793,433,904,624,547

Given numbers are 793,433,904,624,547

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

The LCM of 793,433,904,624,547 is 1018751100432.

Find LCM of 793,433,904,624,547 with Prime Factorization


2 793, 433, 904, 624, 547
2 793, 433, 452, 312, 547
2 793, 433, 226, 156, 547
13 793, 433, 113, 78, 547
61, 433, 113, 6, 547

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

2 x 2 x 2 x 13 x 61 x 433 x 113 x 6 x 547 = 1018751100432

Therefore, the lowest common multiple of 793,433,904,624,547 is 1018751100432.

LCM Formula to Find Lowest Common Multiple of 793,433,904,624,547

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.

793 x 433 x 904 x 624 x 547 = 105950114444928

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.

793 : 1, 13, 61, 793

433 : 1, 433

904 : 1, 2, 4, 8, 113, 226, 452, 904

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,433,904,624,547, is 1.

Now, the common factors can be found like this.

793:13x 61

433:433

904:2x 2x 2x 113

624:2x 2x 2x 2x 3x 13

547:547

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 13 = 104

Therefore, the value for common factors is 104.

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 = 105950114444928/(1x104)

LCM = 105950114444928/104

LCM = 1018751100432

Thus, we can understand that the LCM of 793,433,904,624,547 is 1018751100432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 793, 433, 904, 624, 547

1. What is the LCM of 793, 433, 904, 624, 547?

Answer: LCM of 793, 433, 904, 624, 547 is 1018751100432.

2. How to calculate the LCM of 793, 433, 904, 624, 547?

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 793, 433, 904, 624, 547.

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}.