LCM of 353, 706, 832, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 353, 706, 832, 360 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 353, 706, 832, 360. So, keep reading to learn more.
Given numbers are 353,706,832,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,706,832,360 is 13216320.
Find LCM of 353,706,832,360 with Prime Factorization
| 2 | 353, 706, 832, 360 |
| 2 | 353, 353, 416, 180 |
| 2 | 353, 353, 208, 90 |
| 353 | 353, 353, 104, 45 |
| 1, 1, 104, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 353 x 1 x 1 x 104 x 45 = 13216320
Therefore, the lowest common multiple of 353,706,832,360 is 13216320.
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.
353 x 706 x 832 x 360 = 74645775360
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.
353 : 1, 353
706 : 1, 2, 353, 706
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,706,832,360, is 1.
Now, the common factors can be found like this.
353:353
706:2x 353
832:2x 2x 2x 2x 2x 2x 13
360:2x 2x 2x 3x 3x 5
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 353 = 5648
Therefore, the value for common factors is 5648.
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 = 74645775360/(1x5648)
LCM = 74645775360/5648
LCM = 13216320
Thus, we can understand that the LCM of 353,706,832,360 is 13216320.
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FAQs on LCM of 353, 706, 832, 360
1. What is the LCM of 353, 706, 832, 360?
Answer: LCM of 353, 706, 832, 360 is 13216320.
2. How to calculate the LCM of 353, 706, 832, 360?
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 353, 706, 832, 360.
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}.