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LCM of 933, 455, 722, 988

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


Find the LCM of 933, 455, 722, 988 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 933, 455, 722, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 933,455,722,988

Given numbers are 933,455,722,988

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

The LCM of 933,455,722,988 is 612999660.

Find LCM of 933,455,722,988 with Prime Factorization


2 933, 455, 722, 988
13 933, 455, 361, 494
19 933, 35, 361, 38
933, 35, 19, 2

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

2 x 13 x 19 x 933 x 35 x 19 x 2 = 612999660

Therefore, the lowest common multiple of 933,455,722,988 is 612999660.

LCM Formula to Find Lowest Common Multiple of 933,455,722,988

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.

933 x 455 x 722 x 988 = 302821832040

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.

933 : 1, 3, 311, 933

455 : 1, 5, 7, 13, 35, 65, 91, 455

722 : 1, 2, 19, 38, 361, 722

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,455,722,988, is 1.

Now, the common factors can be found like this.

933:3x 311

455:5x 7x 13

722:2x 19x 19

988:2x 2x 13x 19

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

2x 13x 19 = 494

Therefore, the value for common factors is 494.

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 = 302821832040/(1x494)

LCM = 302821832040/494

LCM = 612999660

Thus, we can understand that the LCM of 933,455,722,988 is 612999660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 933, 455, 722, 988

1. What is the LCM of 933, 455, 722, 988?

Answer: LCM of 933, 455, 722, 988 is 612999660.

2. How to calculate the LCM of 933, 455, 722, 988?

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 933, 455, 722, 988.

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}.