LCM of 845, 316, 592, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 316, 592, 208 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 845, 316, 592, 208. So, keep reading to learn more.
Given numbers are 845,316,592,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,316,592,208 is 39518960.
Find LCM of 845,316,592,208 with Prime Factorization
| 2 | 845, 316, 592, 208 |
| 2 | 845, 158, 296, 104 |
| 2 | 845, 79, 148, 52 |
| 2 | 845, 79, 74, 26 |
| 13 | 845, 79, 37, 13 |
| 65, 79, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 65 x 79 x 37 x 1 = 39518960
Therefore, the lowest common multiple of 845,316,592,208 is 39518960.
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.
845 x 316 x 592 x 208 = 32879774720
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.
845 : 1, 5, 13, 65, 169, 845
316 : 1, 2, 4, 79, 158, 316
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,316,592,208, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
316:2x 2x 79
592:2x 2x 2x 2x 37
208:2x 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 2x 13 = 832
Therefore, the value for common factors is 832.
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 = 32879774720/(1x832)
LCM = 32879774720/832
LCM = 39518960
Thus, we can understand that the LCM of 845,316,592,208 is 39518960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 845, 316, 592, 208
1. What is the LCM of 845, 316, 592, 208?
Answer: LCM of 845, 316, 592, 208 is 39518960.
2. How to calculate the LCM of 845, 316, 592, 208?
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 845, 316, 592, 208.
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}.