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LCM of 583, 93, 328, 738

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


Find the LCM of 583, 93, 328, 738 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 583, 93, 328, 738. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 583,93,328,738

Given numbers are 583,93,328,738

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

The LCM of 583,93,328,738 is 53351496.

Find LCM of 583,93,328,738 with Prime Factorization


2 583, 93, 328, 738
3 583, 93, 164, 369
41 583, 31, 164, 123
583, 31, 4, 3

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

2 x 3 x 41 x 583 x 31 x 4 x 3 = 53351496

Therefore, the lowest common multiple of 583,93,328,738 is 53351496.

LCM Formula to Find Lowest Common Multiple of 583,93,328,738

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.

583 x 93 x 328 x 738 = 13124468016

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.

583 : 1, 11, 53, 583

93 : 1, 3, 31, 93

328 : 1, 2, 4, 8, 41, 82, 164, 328

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,93,328,738, is 1.

Now, the common factors can be found like this.

583:11x 53

93:3x 31

328:2x 2x 2x 41

738:2x 3x 3x 41

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

2x 3x 41 = 246

Therefore, the value for common factors is 246.

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 = 13124468016/(1x246)

LCM = 13124468016/246

LCM = 53351496

Thus, we can understand that the LCM of 583,93,328,738 is 53351496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 583, 93, 328, 738

1. What is the LCM of 583, 93, 328, 738?

Answer: LCM of 583, 93, 328, 738 is 53351496.

2. How to calculate the LCM of 583, 93, 328, 738?

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 583, 93, 328, 738.

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}.