LCM of 213, 900, 345, 929, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 213, 900, 345, 929, 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 213, 900, 345, 929, 500. So, keep reading to learn more.
Given numbers are 213,900,345,929,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,900,345,929,500 is 6826756500.
Find LCM of 213,900,345,929,500 with Prime Factorization
| 2 | 213, 900, 345, 929, 500 |
| 2 | 213, 450, 345, 929, 250 |
| 3 | 213, 225, 345, 929, 125 |
| 5 | 71, 75, 115, 929, 125 |
| 5 | 71, 15, 23, 929, 25 |
| 71, 3, 23, 929, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 71 x 3 x 23 x 929 x 5 = 6826756500
Therefore, the lowest common multiple of 213,900,345,929,500 is 6826756500.
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.
213 x 900 x 345 x 929 x 500 = 30720404250000
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.
213 : 1, 3, 71, 213
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
345 : 1, 3, 5, 15, 23, 69, 115, 345
929 : 1, 929
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 213,900,345,929,500, is 1.
Now, the common factors can be found like this.
213:3x 71
900:2x 2x 3x 3x 5x 5
345:3x 5x 23
929:929
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 5x 5x 5 = 4500
Therefore, the value for common factors is 4500.
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 = 30720404250000/(1x4500)
LCM = 30720404250000/4500
LCM = 6826756500
Thus, we can understand that the LCM of 213,900,345,929,500 is 6826756500.
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FAQs on LCM of 213, 900, 345, 929, 500
1. What is the LCM of 213, 900, 345, 929, 500?
Answer: LCM of 213, 900, 345, 929, 500 is 6826756500.
2. How to calculate the LCM of 213, 900, 345, 929, 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 213, 900, 345, 929, 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}.