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LCM of 701, 366, 759, 589, 483

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


Find the LCM of 701, 366, 759, 589, 483 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 701, 366, 759, 589, 483. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,366,759,589,483

Given numbers are 701,366,759,589,483

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

The LCM of 701,366,759,589,483 is 267628869354.

Find LCM of 701,366,759,589,483 with Prime Factorization


3 701, 366, 759, 589, 483
23 701, 122, 253, 589, 161
701, 122, 11, 589, 7

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

3 x 23 x 701 x 122 x 11 x 589 x 7 = 267628869354

Therefore, the lowest common multiple of 701,366,759,589,483 is 267628869354.

LCM Formula to Find Lowest Common Multiple of 701,366,759,589,483

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.

701 x 366 x 759 x 589 x 483 = 55399175956278

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.

701 : 1, 701

366 : 1, 2, 3, 6, 61, 122, 183, 366

759 : 1, 3, 11, 23, 33, 69, 253, 759

589 : 1, 19, 31, 589

483 : 1, 3, 7, 21, 23, 69, 161, 483

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,366,759,589,483, is 1.

Now, the common factors can be found like this.

701:701

366:2x 3x 61

759:3x 11x 23

589:19x 31

483:3x 7x 23

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 55399175956278/(1x207)

LCM = 55399175956278/207

LCM = 267628869354

Thus, we can understand that the LCM of 701,366,759,589,483 is 267628869354.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 701, 366, 759, 589, 483

1. What is the LCM of 701, 366, 759, 589, 483?

Answer: LCM of 701, 366, 759, 589, 483 is 267628869354.

2. How to calculate the LCM of 701, 366, 759, 589, 483?

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 701, 366, 759, 589, 483.

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}.