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LCM of 694, 697, 902, 652, 328

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


Find the LCM of 694, 697, 902, 652, 328 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 694, 697, 902, 652, 328. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 694,697,902,652,328

Given numbers are 694,697,902,652,328

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

The LCM of 694,697,902,652,328 is 3469225496.

Find LCM of 694,697,902,652,328 with Prime Factorization


2 694, 697, 902, 652, 328
2 347, 697, 451, 326, 164
41 347, 697, 451, 163, 82
347, 17, 11, 163, 2

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

2 x 2 x 41 x 347 x 17 x 11 x 163 x 2 = 3469225496

Therefore, the lowest common multiple of 694,697,902,652,328 is 3469225496.

LCM Formula to Find Lowest Common Multiple of 694,697,902,652,328

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.

694 x 697 x 902 x 652 x 328 = 93308288940416

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.

694 : 1, 2, 347, 694

697 : 1, 17, 41, 697

902 : 1, 2, 11, 22, 41, 82, 451, 902

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

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,697,902,652,328, is 1.

Now, the common factors can be found like this.

694:2x 347

697:17x 41

902:2x 11x 41

652:2x 2x 163

328:2x 2x 2x 41

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 41x 41 = 26896

Therefore, the value for common factors is 26896.

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 = 93308288940416/(1x26896)

LCM = 93308288940416/26896

LCM = 3469225496

Thus, we can understand that the LCM of 694,697,902,652,328 is 3469225496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 694, 697, 902, 652, 328

1. What is the LCM of 694, 697, 902, 652, 328?

Answer: LCM of 694, 697, 902, 652, 328 is 3469225496.

2. How to calculate the LCM of 694, 697, 902, 652, 328?

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 694, 697, 902, 652, 328.

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}.