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LCM of 322, 134, 782, 680, 832

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


Find the LCM of 322, 134, 782, 680, 832 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 322, 134, 782, 680, 832. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,134,782,680,832

Given numbers are 322,134,782,680,832

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

The LCM of 322,134,782,680,832 is 762856640.

Find LCM of 322,134,782,680,832 with Prime Factorization


2 322, 134, 782, 680, 832
2 161, 67, 391, 340, 416
2 161, 67, 391, 170, 208
17 161, 67, 391, 85, 104
23 161, 67, 23, 5, 104
7, 67, 1, 5, 104

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

2 x 2 x 2 x 17 x 23 x 7 x 67 x 1 x 5 x 104 = 762856640

Therefore, the lowest common multiple of 322,134,782,680,832 is 762856640.

LCM Formula to Find Lowest Common Multiple of 322,134,782,680,832

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.

322 x 134 x 782 x 680 x 832 = 19089724559360

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.

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

134 : 1, 2, 67, 134

782 : 1, 2, 17, 23, 34, 46, 391, 782

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,134,782,680,832, is 2.

Now, the common factors can be found like this.

322:2x 7x 23

134:2x 67

782:2x 17x 23

680:2x 2x 2x 5x 17

832:2x 2x 2x 2x 2x 2x 13

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 2x 17x 23 = 12512

Therefore, the value for common factors is 12512.

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 = 19089724559360/(2x12512)

LCM = 19089724559360/25024

LCM = 762856640

Thus, we can understand that the LCM of 322,134,782,680,832 is 762856640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 322, 134, 782, 680, 832

1. What is the LCM of 322, 134, 782, 680, 832?

Answer: LCM of 322, 134, 782, 680, 832 is 762856640.

2. How to calculate the LCM of 322, 134, 782, 680, 832?

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 322, 134, 782, 680, 832.

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}.