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LCM of 702, 629, 352, 334, 452

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


Find the LCM of 702, 629, 352, 334, 452 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 702, 629, 352, 334, 452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 702,629,352,334,452

Given numbers are 702,629,352,334,452

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

The LCM of 702,629,352,334,452 is 1466544819168.

Find LCM of 702,629,352,334,452 with Prime Factorization


2 702, 629, 352, 334, 452
2 351, 629, 176, 167, 226
351, 629, 88, 167, 113

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

2 x 2 x 351 x 629 x 88 x 167 x 113 = 1466544819168

Therefore, the lowest common multiple of 702,629,352,334,452 is 1466544819168.

LCM Formula to Find Lowest Common Multiple of 702,629,352,334,452

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.

702 x 629 x 352 x 334 x 452 = 23464717106688

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

629 : 1, 17, 37, 629

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

334 : 1, 2, 167, 334

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,629,352,334,452, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

629:17x 37

352:2x 2x 2x 2x 2x 11

334:2x 167

452:2x 2x 113

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 2 = 16

Therefore, the value for common factors is 16.

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 = 23464717106688/(1x16)

LCM = 23464717106688/16

LCM = 1466544819168

Thus, we can understand that the LCM of 702,629,352,334,452 is 1466544819168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 702, 629, 352, 334, 452

1. What is the LCM of 702, 629, 352, 334, 452?

Answer: LCM of 702, 629, 352, 334, 452 is 1466544819168.

2. How to calculate the LCM of 702, 629, 352, 334, 452?

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 702, 629, 352, 334, 452.

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}.