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LCM of 544, 792, 256, 726

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


Find the LCM of 544, 792, 256, 726 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 544, 792, 256, 726. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 544,792,256,726

Given numbers are 544,792,256,726

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

The LCM of 544,792,256,726 is 4739328.

Find LCM of 544,792,256,726 with Prime Factorization


2 544, 792, 256, 726
2 272, 396, 128, 363
2 136, 198, 64, 363
2 68, 99, 32, 363
2 34, 99, 16, 363
3 17, 99, 8, 363
11 17, 33, 8, 121
17, 3, 8, 11

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

2 x 2 x 2 x 2 x 2 x 3 x 11 x 17 x 3 x 8 x 11 = 4739328

Therefore, the lowest common multiple of 544,792,256,726 is 4739328.

LCM Formula to Find Lowest Common Multiple of 544,792,256,726

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.

544 x 792 x 256 x 726 = 80075685888

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,792,256,726, is 2.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

792:2x 2x 2x 3x 3x 11

256:2x 2x 2x 2x 2x 2x 2x 2

726:2x 3x 11x 11

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 2x 2x 2x 2x 3x 11 = 8448

Therefore, the value for common factors is 8448.

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 = 80075685888/(2x8448)

LCM = 80075685888/16896

LCM = 4739328

Thus, we can understand that the LCM of 544,792,256,726 is 4739328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 544, 792, 256, 726

1. What is the LCM of 544, 792, 256, 726?

Answer: LCM of 544, 792, 256, 726 is 4739328.

2. How to calculate the LCM of 544, 792, 256, 726?

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 544, 792, 256, 726.

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}.