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LCM of 658, 540, 585, 936

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


Find the LCM of 658, 540, 585, 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 658, 540, 585, 936. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 658,540,585,936

Given numbers are 658,540,585,936

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

The LCM of 658,540,585,936 is 4619160.

Find LCM of 658,540,585,936 with Prime Factorization


2 658, 540, 585, 936
2 329, 270, 585, 468
3 329, 135, 585, 234
3 329, 45, 195, 78
5 329, 15, 65, 26
13 329, 3, 13, 26
329, 3, 1, 2

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

2 x 2 x 3 x 3 x 5 x 13 x 329 x 3 x 1 x 2 = 4619160

Therefore, the lowest common multiple of 658,540,585,936 is 4619160.

LCM Formula to Find Lowest Common Multiple of 658,540,585,936

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.

658 x 540 x 585 x 936 = 194559019200

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.

658 : 1, 2, 7, 14, 47, 94, 329, 658

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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 658,540,585,936, is 1.

Now, the common factors can be found like this.

658:2x 7x 47

540:2x 2x 3x 3x 3x 5

585:3x 3x 5x 13

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 2x 3x 3x 3x 3x 5x 13 = 42120

Therefore, the value for common factors is 42120.

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 = 194559019200/(1x42120)

LCM = 194559019200/42120

LCM = 4619160

Thus, we can understand that the LCM of 658,540,585,936 is 4619160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 658, 540, 585, 936

1. What is the LCM of 658, 540, 585, 936?

Answer: LCM of 658, 540, 585, 936 is 4619160.

2. How to calculate the LCM of 658, 540, 585, 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 658, 540, 585, 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}.