LCM of 193, 963, 387, 264, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 963, 387, 264, 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 193, 963, 387, 264, 500. So, keep reading to learn more.
Given numbers are 193,963,387,264,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,963,387,264,500 is 87911307000.
Find LCM of 193,963,387,264,500 with Prime Factorization
| 2 | 193, 963, 387, 264, 500 |
| 2 | 193, 963, 387, 132, 250 |
| 3 | 193, 963, 387, 66, 125 |
| 3 | 193, 321, 129, 22, 125 |
| 193, 107, 43, 22, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 193 x 107 x 43 x 22 x 125 = 87911307000
Therefore, the lowest common multiple of 193,963,387,264,500 is 87911307000.
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.
193 x 963 x 387 x 264 x 500 = 9494421156000
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.
193 : 1, 193
963 : 1, 3, 9, 107, 321, 963
387 : 1, 3, 9, 43, 129, 387
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
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 193,963,387,264,500, is 1.
Now, the common factors can be found like this.
193:193
963:3x 3x 107
387:3x 3x 43
264:2x 2x 2x 3x 11
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 3 = 108
Therefore, the value for common factors is 108.
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 = 9494421156000/(1x108)
LCM = 9494421156000/108
LCM = 87911307000
Thus, we can understand that the LCM of 193,963,387,264,500 is 87911307000.
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FAQs on LCM of 193, 963, 387, 264, 500
1. What is the LCM of 193, 963, 387, 264, 500?
Answer: LCM of 193, 963, 387, 264, 500 is 87911307000.
2. How to calculate the LCM of 193, 963, 387, 264, 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 193, 963, 387, 264, 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}.