LCM of 193, 952, 993, 494, 573
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 952, 993, 494, 573 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, 952, 993, 494, 573. So, keep reading to learn more.
Given numbers are 193,952,993,494,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,952,993,494,573 is 8607436479096.
Find LCM of 193,952,993,494,573 with Prime Factorization
| 2 | 193, 952, 993, 494, 573 |
| 3 | 193, 476, 993, 247, 573 |
| 193, 476, 331, 247, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 193 x 476 x 331 x 247 x 191 = 8607436479096
Therefore, the lowest common multiple of 193,952,993,494,573 is 8607436479096.
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 952 x 993 x 494 x 573 = 51644618874576
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
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
993 : 1, 3, 331, 993
494 : 1, 2, 13, 19, 26, 38, 247, 494
573 : 1, 3, 191, 573
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,952,993,494,573, is 1.
Now, the common factors can be found like this.
193:193
952:2x 2x 2x 7x 17
993:3x 331
494:2x 13x 19
573:3x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 51644618874576/(1x6)
LCM = 51644618874576/6
LCM = 8607436479096
Thus, we can understand that the LCM of 193,952,993,494,573 is 8607436479096.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 193, 952, 993, 494, 573
1. What is the LCM of 193, 952, 993, 494, 573?
Answer: LCM of 193, 952, 993, 494, 573 is 8607436479096.
2. How to calculate the LCM of 193, 952, 993, 494, 573?
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, 952, 993, 494, 573.
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}.