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LCM of 448, 696, 626, 569, 632

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


Find the LCM of 448, 696, 626, 569, 632 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 448, 696, 626, 569, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 448,696,626,569,632

Given numbers are 448,696,626,569,632

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

The LCM of 448,696,626,569,632 is 548379185088.

Find LCM of 448,696,626,569,632 with Prime Factorization


2 448, 696, 626, 569, 632
2 224, 348, 313, 569, 316
2 112, 174, 313, 569, 158
56, 87, 313, 569, 79

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

2 x 2 x 2 x 56 x 87 x 313 x 569 x 79 = 548379185088

Therefore, the lowest common multiple of 448,696,626,569,632 is 548379185088.

LCM Formula to Find Lowest Common Multiple of 448,696,626,569,632

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.

448 x 696 x 626 x 569 x 632 = 70192535691264

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.

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

626 : 1, 2, 313, 626

569 : 1, 569

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,696,626,569,632, is 1.

Now, the common factors can be found like this.

448:2x 2x 2x 2x 2x 2x 7

696:2x 2x 2x 3x 29

626:2x 313

569:569

632:2x 2x 2x 79

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 2 = 128

Therefore, the value for common factors is 128.

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 = 70192535691264/(1x128)

LCM = 70192535691264/128

LCM = 548379185088

Thus, we can understand that the LCM of 448,696,626,569,632 is 548379185088.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 448, 696, 626, 569, 632

1. What is the LCM of 448, 696, 626, 569, 632?

Answer: LCM of 448, 696, 626, 569, 632 is 548379185088.

2. How to calculate the LCM of 448, 696, 626, 569, 632?

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 448, 696, 626, 569, 632.

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}.