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LCM of 455, 702, 113, 322, 766

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


Find the LCM of 455, 702, 113, 322, 766 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 455, 702, 113, 322, 766. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 455,702,113,322,766

Given numbers are 455,702,113,322,766

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

The LCM of 455,702,113,322,766 is 24457395690.

Find LCM of 455,702,113,322,766 with Prime Factorization


2 455, 702, 113, 322, 766
7 455, 351, 113, 161, 383
13 65, 351, 113, 23, 383
5, 27, 113, 23, 383

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

2 x 7 x 13 x 5 x 27 x 113 x 23 x 383 = 24457395690

Therefore, the lowest common multiple of 455,702,113,322,766 is 24457395690.

LCM Formula to Find Lowest Common Multiple of 455,702,113,322,766

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.

455 x 702 x 113 x 322 x 766 = 8902492031160

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.

455 : 1, 5, 7, 13, 35, 65, 91, 455

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

113 : 1, 113

322 : 1, 2, 7, 14, 23, 46, 161, 322

766 : 1, 2, 383, 766

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,702,113,322,766, is 1.

Now, the common factors can be found like this.

455:5x 7x 13

702:2x 3x 3x 3x 13

113:113

322:2x 7x 23

766:2x 383

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 7x 13 = 364

Therefore, the value for common factors is 364.

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 = 8902492031160/(1x364)

LCM = 8902492031160/364

LCM = 24457395690

Thus, we can understand that the LCM of 455,702,113,322,766 is 24457395690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 455, 702, 113, 322, 766

1. What is the LCM of 455, 702, 113, 322, 766?

Answer: LCM of 455, 702, 113, 322, 766 is 24457395690.

2. How to calculate the LCM of 455, 702, 113, 322, 766?

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 455, 702, 113, 322, 766.

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}.