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LCM of 726, 570, 562, 264

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


Find the LCM of 726, 570, 562, 264 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 726, 570, 562, 264. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,570,562,264

Given numbers are 726,570,562,264

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

The LCM of 726,570,562,264 is 77522280.

Find LCM of 726,570,562,264 with Prime Factorization


2 726, 570, 562, 264
3 363, 285, 281, 132
11 121, 95, 281, 44
11, 95, 281, 4

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

2 x 3 x 11 x 11 x 95 x 281 x 4 = 77522280

Therefore, the lowest common multiple of 726,570,562,264 is 77522280.

LCM Formula to Find Lowest Common Multiple of 726,570,562,264

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.

726 x 570 x 562 x 264 = 61397645760

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.

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

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

562 : 1, 2, 281, 562

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,570,562,264, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

570:2x 3x 5x 19

562:2x 281

264:2x 2x 2x 3x 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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 61397645760/(2x396)

LCM = 61397645760/792

LCM = 77522280

Thus, we can understand that the LCM of 726,570,562,264 is 77522280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 570, 562, 264

1. What is the LCM of 726, 570, 562, 264?

Answer: LCM of 726, 570, 562, 264 is 77522280.

2. How to calculate the LCM of 726, 570, 562, 264?

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 726, 570, 562, 264.

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}.