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LCM of 578, 245, 663, 680, 832

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


Find the LCM of 578, 245, 663, 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 578, 245, 663, 680, 832. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,245,663,680,832

Given numbers are 578,245,663,680,832

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

The LCM of 578,245,663,680,832 is 176729280.

Find LCM of 578,245,663,680,832 with Prime Factorization


2 578, 245, 663, 680, 832
2 289, 245, 663, 340, 416
2 289, 245, 663, 170, 208
5 289, 245, 663, 85, 104
13 289, 49, 663, 17, 104
17 289, 49, 51, 17, 8
1, 49, 3, 17, 8

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

2 x 2 x 2 x 5 x 13 x 17 x 1 x 49 x 3 x 17 x 8 = 176729280

Therefore, the lowest common multiple of 578,245,663,680,832 is 176729280.

LCM Formula to Find Lowest Common Multiple of 578,245,663,680,832

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.

578 x 245 x 663 x 680 x 832 = 53117752396800

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.

578 : 1, 2, 17, 34, 289, 578

245 : 1, 5, 7, 35, 49, 245

663 : 1, 3, 13, 17, 39, 51, 221, 663

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,245,663,680,832, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

245:5x 7x 7

663:3x 13x 17

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 5x 13x 17x 17 = 300560

Therefore, the value for common factors is 300560.

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 = 53117752396800/(1x300560)

LCM = 53117752396800/300560

LCM = 176729280

Thus, we can understand that the LCM of 578,245,663,680,832 is 176729280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 245, 663, 680, 832

1. What is the LCM of 578, 245, 663, 680, 832?

Answer: LCM of 578, 245, 663, 680, 832 is 176729280.

2. How to calculate the LCM of 578, 245, 663, 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 578, 245, 663, 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}.