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LCM of 470, 701, 754, 611, 323

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


Find the LCM of 470, 701, 754, 611, 323 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 470, 701, 754, 611, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 470,701,754,611,323

Given numbers are 470,701,754,611,323

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

The LCM of 470,701,754,611,323 is 40119891370.

Find LCM of 470,701,754,611,323 with Prime Factorization


2 470, 701, 754, 611, 323
13 235, 701, 377, 611, 323
47 235, 701, 29, 47, 323
5, 701, 29, 1, 323

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

2 x 13 x 47 x 5 x 701 x 29 x 1 x 323 = 40119891370

Therefore, the lowest common multiple of 470,701,754,611,323 is 40119891370.

LCM Formula to Find Lowest Common Multiple of 470,701,754,611,323

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.

470 x 701 x 754 x 611 x 323 = 49026507254140

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.

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

701 : 1, 701

754 : 1, 2, 13, 26, 29, 58, 377, 754

611 : 1, 13, 47, 611

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,701,754,611,323, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

701:701

754:2x 13x 29

611:13x 47

323:17x 19

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

2x 13x 47 = 1222

Therefore, the value for common factors is 1222.

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 = 49026507254140/(1x1222)

LCM = 49026507254140/1222

LCM = 40119891370

Thus, we can understand that the LCM of 470,701,754,611,323 is 40119891370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 470, 701, 754, 611, 323

1. What is the LCM of 470, 701, 754, 611, 323?

Answer: LCM of 470, 701, 754, 611, 323 is 40119891370.

2. How to calculate the LCM of 470, 701, 754, 611, 323?

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 470, 701, 754, 611, 323.

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}.