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LCM of 448, 696, 624, 621

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


Find the LCM of 448, 696, 624, 621 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, 624, 621. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 448,696,624,621

Given numbers are 448,696,624,621

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

The LCM of 448,696,624,621 is 104884416.

Find LCM of 448,696,624,621 with Prime Factorization


2 448, 696, 624, 621
2 224, 348, 312, 621
2 112, 174, 156, 621
2 56, 87, 78, 621
3 28, 87, 39, 621
28, 29, 13, 207

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

2 x 2 x 2 x 2 x 3 x 28 x 29 x 13 x 207 = 104884416

Therefore, the lowest common multiple of 448,696,624,621 is 104884416.

LCM Formula to Find Lowest Common Multiple of 448,696,624,621

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 624 x 621 = 120826847232

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

621 : 1, 3, 9, 23, 27, 69, 207, 621

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,696,624,621, 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

624:2x 2x 2x 2x 3x 13

621:3x 3x 3x 23

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 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 120826847232/(1x1152)

LCM = 120826847232/1152

LCM = 104884416

Thus, we can understand that the LCM of 448,696,624,621 is 104884416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 448, 696, 624, 621

1. What is the LCM of 448, 696, 624, 621?

Answer: LCM of 448, 696, 624, 621 is 104884416.

2. How to calculate the LCM of 448, 696, 624, 621?

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, 624, 621.

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}.