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LCM of 756, 564, 364, 592

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


Find the LCM of 756, 564, 364, 592 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 756, 564, 364, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 756,564,364,592

Given numbers are 756,564,364,592

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

The LCM of 756,564,364,592 is 68363568.

Find LCM of 756,564,364,592 with Prime Factorization


2 756, 564, 364, 592
2 378, 282, 182, 296
3 189, 141, 91, 148
7 63, 47, 91, 148
9, 47, 13, 148

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

2 x 2 x 3 x 7 x 9 x 47 x 13 x 148 = 68363568

Therefore, the lowest common multiple of 756,564,364,592 is 68363568.

LCM Formula to Find Lowest Common Multiple of 756,564,364,592

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.

756 x 564 x 364 x 592 = 91880635392

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,564,364,592, is 4.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

564:2x 2x 3x 47

364:2x 2x 7x 13

592:2x 2x 2x 2x 37

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 2x 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 91880635392/(4x336)

LCM = 91880635392/1344

LCM = 68363568

Thus, we can understand that the LCM of 756,564,364,592 is 68363568.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 756, 564, 364, 592

1. What is the LCM of 756, 564, 364, 592?

Answer: LCM of 756, 564, 364, 592 is 68363568.

2. How to calculate the LCM of 756, 564, 364, 592?

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 756, 564, 364, 592.

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}.