LCM of 853, 960, 921, 411, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 960, 921, 411, 500 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 853, 960, 921, 411, 500. So, keep reading to learn more.
Given numbers are 853,960,921,411,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,960,921,411,500 is 861031848000.
Find LCM of 853,960,921,411,500 with Prime Factorization
| 2 | 853, 960, 921, 411, 500 |
| 2 | 853, 480, 921, 411, 250 |
| 3 | 853, 240, 921, 411, 125 |
| 5 | 853, 80, 307, 137, 125 |
| 853, 16, 307, 137, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 853 x 16 x 307 x 137 x 25 = 861031848000
Therefore, the lowest common multiple of 853,960,921,411,500 is 861031848000.
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.
853 x 960 x 921 x 411 x 500 = 154985732640000
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.
853 : 1, 853
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
921 : 1, 3, 307, 921
411 : 1, 3, 137, 411
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,960,921,411,500, is 1.
Now, the common factors can be found like this.
853:853
960:2x 2x 2x 2x 2x 2x 3x 5
921:3x 307
411:3x 137
500:2x 2x 5x 5x 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 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 154985732640000/(1x180)
LCM = 154985732640000/180
LCM = 861031848000
Thus, we can understand that the LCM of 853,960,921,411,500 is 861031848000.
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FAQs on LCM of 853, 960, 921, 411, 500
1. What is the LCM of 853, 960, 921, 411, 500?
Answer: LCM of 853, 960, 921, 411, 500 is 861031848000.
2. How to calculate the LCM of 853, 960, 921, 411, 500?
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 853, 960, 921, 411, 500.
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}.