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LCM of 535, 961, 793, 884, 936

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


Find the LCM of 535, 961, 793, 884, 936 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 535, 961, 793, 884, 936. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 535,961,793,884,936

Given numbers are 535,961,793,884,936

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

The LCM of 535,961,793,884,936 is 499035883320.

Find LCM of 535,961,793,884,936 with Prime Factorization


2 535, 961, 793, 884, 936
2 535, 961, 793, 442, 468
13 535, 961, 793, 221, 234
535, 961, 61, 17, 18

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

2 x 2 x 13 x 535 x 961 x 61 x 17 x 18 = 499035883320

Therefore, the lowest common multiple of 535,961,793,884,936 is 499035883320.

LCM Formula to Find Lowest Common Multiple of 535,961,793,884,936

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.

535 x 961 x 793 x 884 x 936 = 337348257124320

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.

535 : 1, 5, 107, 535

961 : 1, 31, 961

793 : 1, 13, 61, 793

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,961,793,884,936, is 1.

Now, the common factors can be found like this.

535:5x 107

961:31x 31

793:13x 61

884:2x 2x 13x 17

936:2x 2x 2x 3x 3x 13

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 337348257124320/(1x676)

LCM = 337348257124320/676

LCM = 499035883320

Thus, we can understand that the LCM of 535,961,793,884,936 is 499035883320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 535, 961, 793, 884, 936

1. What is the LCM of 535, 961, 793, 884, 936?

Answer: LCM of 535, 961, 793, 884, 936 is 499035883320.

2. How to calculate the LCM of 535, 961, 793, 884, 936?

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 535, 961, 793, 884, 936.

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}.