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LCM of 724, 329, 470, 901, 735

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


Find the LCM of 724, 329, 470, 901, 735 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 724, 329, 470, 901, 735. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,329,470,901,735

Given numbers are 724,329,470,901,735

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

The LCM of 724,329,470,901,735 is 22534532580.

Find LCM of 724,329,470,901,735 with Prime Factorization


2 724, 329, 470, 901, 735
5 362, 329, 235, 901, 735
7 362, 329, 47, 901, 147
47 362, 47, 47, 901, 21
362, 1, 1, 901, 21

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

2 x 5 x 7 x 47 x 362 x 1 x 1 x 901 x 21 = 22534532580

Therefore, the lowest common multiple of 724,329,470,901,735 is 22534532580.

LCM Formula to Find Lowest Common Multiple of 724,329,470,901,735

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.

724 x 329 x 470 x 901 x 735 = 74138612188200

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.

724 : 1, 2, 4, 181, 362, 724

329 : 1, 7, 47, 329

470 : 1, 2, 5, 10, 47, 94, 235, 470

901 : 1, 17, 53, 901

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,329,470,901,735, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

329:7x 47

470:2x 5x 47

901:17x 53

735:3x 5x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 7x 47 = 3290

Therefore, the value for common factors is 3290.

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 = 74138612188200/(1x3290)

LCM = 74138612188200/3290

LCM = 22534532580

Thus, we can understand that the LCM of 724,329,470,901,735 is 22534532580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 329, 470, 901, 735

1. What is the LCM of 724, 329, 470, 901, 735?

Answer: LCM of 724, 329, 470, 901, 735 is 22534532580.

2. How to calculate the LCM of 724, 329, 470, 901, 735?

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 724, 329, 470, 901, 735.

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}.