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LCM of 703, 652, 629, 893, 388

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


Find the LCM of 703, 652, 629, 893, 388 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 703, 652, 629, 893, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,652,629,893,388

Given numbers are 703,652,629,893,388

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

The LCM of 703,652,629,893,388 is 35523965068.

Find LCM of 703,652,629,893,388 with Prime Factorization


2 703, 652, 629, 893, 388
2 703, 326, 629, 893, 194
19 703, 163, 629, 893, 97
37 37, 163, 629, 47, 97
1, 163, 17, 47, 97

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

2 x 2 x 19 x 37 x 1 x 163 x 17 x 47 x 97 = 35523965068

Therefore, the lowest common multiple of 703,652,629,893,388 is 35523965068.

LCM Formula to Find Lowest Common Multiple of 703,652,629,893,388

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.

703 x 652 x 629 x 893 x 388 = 99893389771216

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.

703 : 1, 19, 37, 703

652 : 1, 2, 4, 163, 326, 652

629 : 1, 17, 37, 629

893 : 1, 19, 47, 893

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,652,629,893,388, is 1.

Now, the common factors can be found like this.

703:19x 37

652:2x 2x 163

629:17x 37

893:19x 47

388:2x 2x 97

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 19x 37 = 2812

Therefore, the value for common factors is 2812.

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 = 99893389771216/(1x2812)

LCM = 99893389771216/2812

LCM = 35523965068

Thus, we can understand that the LCM of 703,652,629,893,388 is 35523965068.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 652, 629, 893, 388

1. What is the LCM of 703, 652, 629, 893, 388?

Answer: LCM of 703, 652, 629, 893, 388 is 35523965068.

2. How to calculate the LCM of 703, 652, 629, 893, 388?

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 703, 652, 629, 893, 388.

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}.