LCM of 747, 100, 792, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 100, 792, 415 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 747, 100, 792, 415. So, keep reading to learn more.
Given numbers are 747,100,792,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,100,792,415 is 1643400.
Find LCM of 747,100,792,415 with Prime Factorization
| 2 | 747, 100, 792, 415 |
| 2 | 747, 50, 396, 415 |
| 3 | 747, 25, 198, 415 |
| 3 | 249, 25, 66, 415 |
| 5 | 83, 25, 22, 415 |
| 83 | 83, 5, 22, 83 |
| 1, 5, 22, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 83 x 1 x 5 x 22 x 1 = 1643400
Therefore, the lowest common multiple of 747,100,792,415 is 1643400.
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.
747 x 100 x 792 x 415 = 24552396000
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.
747 : 1, 3, 9, 83, 249, 747
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,100,792,415, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
100:2x 2x 5x 5
792:2x 2x 2x 3x 3x 11
415:5x 83
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 83 = 14940
Therefore, the value for common factors is 14940.
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 = 24552396000/(1x14940)
LCM = 24552396000/14940
LCM = 1643400
Thus, we can understand that the LCM of 747,100,792,415 is 1643400.
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FAQs on LCM of 747, 100, 792, 415
1. What is the LCM of 747, 100, 792, 415?
Answer: LCM of 747, 100, 792, 415 is 1643400.
2. How to calculate the LCM of 747, 100, 792, 415?
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 747, 100, 792, 415.
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}.