LCM of 733, 390, 368, 111, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 733, 390, 368, 111, 975 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 733, 390, 368, 111, 975. So, keep reading to learn more.
Given numbers are 733,390,368,111,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,390,368,111,975 is 9731014800.
Find LCM of 733,390,368,111,975 with Prime Factorization
| 2 | 733, 390, 368, 111, 975 |
| 3 | 733, 195, 184, 111, 975 |
| 5 | 733, 65, 184, 37, 325 |
| 13 | 733, 13, 184, 37, 65 |
| 733, 1, 184, 37, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 733 x 1 x 184 x 37 x 5 = 9731014800
Therefore, the lowest common multiple of 733,390,368,111,975 is 9731014800.
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.
733 x 390 x 368 x 111 x 975 = 11385287316000
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.
733 : 1, 733
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
111 : 1, 3, 37, 111
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,390,368,111,975, is 1.
Now, the common factors can be found like this.
733:733
390:2x 3x 5x 13
368:2x 2x 2x 2x 23
111:3x 37
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13 = 1170
Therefore, the value for common factors is 1170.
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 = 11385287316000/(1x1170)
LCM = 11385287316000/1170
LCM = 9731014800
Thus, we can understand that the LCM of 733,390,368,111,975 is 9731014800.
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FAQs on LCM of 733, 390, 368, 111, 975
1. What is the LCM of 733, 390, 368, 111, 975?
Answer: LCM of 733, 390, 368, 111, 975 is 9731014800.
2. How to calculate the LCM of 733, 390, 368, 111, 975?
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 733, 390, 368, 111, 975.
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}.