Find the LCM of 993, 978, 712, 354, 165 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 993, 978, 712, 354, 165. So, keep reading to learn more.
Given numbers are 993,978,712,354,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,978,712,354,165 is 373965507960.
Find LCM of 993,978,712,354,165 with Prime Factorization
2 | 993, 978, 712, 354, 165 |
3 | 993, 489, 356, 177, 165 |
331, 163, 356, 59, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 331 x 163 x 356 x 59 x 55 = 373965507960
Therefore, the lowest common multiple of 993,978,712,354,165 is 373965507960.
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.
993 x 978 x 712 x 354 x 165 = 40388274859680
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.
993 : 1, 3, 331, 993
978 : 1, 2, 3, 6, 163, 326, 489, 978
712 : 1, 2, 4, 8, 89, 178, 356, 712
354 : 1, 2, 3, 6, 59, 118, 177, 354
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,978,712,354,165, is 1.
Now, the common factors can be found like this.
993:3x 331
978:2x 3x 163
712:2x 2x 2x 89
354:2x 3x 59
165:3x 5x 11
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 = 40388274859680/(1x108)
LCM = 40388274859680/108
LCM = 373965507960
Thus, we can understand that the LCM of 993,978,712,354,165 is 373965507960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 978, 712, 354, 165?
Answer: LCM of 993, 978, 712, 354, 165 is 373965507960.
2. How to calculate the LCM of 993, 978, 712, 354, 165?
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 993, 978, 712, 354, 165.
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}.