LCM of 444, 345, 943, 883, 160
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 444, 345, 943, 883, 160 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 444, 345, 943, 883, 160. So, keep reading to learn more.
Given numbers are 444,345,943,883,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,345,943,883,160 is 14788201440.
Find LCM of 444,345,943,883,160 with Prime Factorization
| 2 | 444, 345, 943, 883, 160 |
| 2 | 222, 345, 943, 883, 80 |
| 3 | 111, 345, 943, 883, 40 |
| 5 | 37, 115, 943, 883, 40 |
| 23 | 37, 23, 943, 883, 8 |
| 37, 1, 41, 883, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 37 x 1 x 41 x 883 x 8 = 14788201440
Therefore, the lowest common multiple of 444,345,943,883,160 is 14788201440.
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.
444 x 345 x 943 x 883 x 160 = 20407717987200
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.
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
345 : 1, 3, 5, 15, 23, 69, 115, 345
943 : 1, 23, 41, 943
883 : 1, 883
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,345,943,883,160, is 1.
Now, the common factors can be found like this.
444:2x 2x 3x 37
345:3x 5x 23
943:23x 41
883:883
160:2x 2x 2x 2x 2x 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 3x 5x 23 = 1380
Therefore, the value for common factors is 1380.
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 = 20407717987200/(1x1380)
LCM = 20407717987200/1380
LCM = 14788201440
Thus, we can understand that the LCM of 444,345,943,883,160 is 14788201440.
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FAQs on LCM of 444, 345, 943, 883, 160
1. What is the LCM of 444, 345, 943, 883, 160?
Answer: LCM of 444, 345, 943, 883, 160 is 14788201440.
2. How to calculate the LCM of 444, 345, 943, 883, 160?
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 444, 345, 943, 883, 160.
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}.