LCM of 821, 217, 248, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 217, 248, 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 821, 217, 248, 500. So, keep reading to learn more.
Given numbers are 821,217,248,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,217,248,500 is 178157000.
Find LCM of 821,217,248,500 with Prime Factorization
| 2 | 821, 217, 248, 500 |
| 2 | 821, 217, 124, 250 |
| 31 | 821, 217, 62, 125 |
| 821, 7, 2, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 821 x 7 x 2 x 125 = 178157000
Therefore, the lowest common multiple of 821,217,248,500 is 178157000.
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.
821 x 217 x 248 x 500 = 22091468000
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.
821 : 1, 821
217 : 1, 7, 31, 217
248 : 1, 2, 4, 8, 31, 62, 124, 248
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 821,217,248,500, is 1.
Now, the common factors can be found like this.
821:821
217:7x 31
248:2x 2x 2x 31
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 31 = 124
Therefore, the value for common factors is 124.
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 = 22091468000/(1x124)
LCM = 22091468000/124
LCM = 178157000
Thus, we can understand that the LCM of 821,217,248,500 is 178157000.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 821, 217, 248, 500
1. What is the LCM of 821, 217, 248, 500?
Answer: LCM of 821, 217, 248, 500 is 178157000.
2. How to calculate the LCM of 821, 217, 248, 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 821, 217, 248, 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}.