LCM of 607, 468, 791, 603, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 468, 791, 603, 168 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 607, 468, 791, 603, 168. So, keep reading to learn more.
Given numbers are 607,468,791,603,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,468,791,603,168 is 30110351544.
Find LCM of 607,468,791,603,168 with Prime Factorization
| 2 | 607, 468, 791, 603, 168 |
| 2 | 607, 234, 791, 603, 84 |
| 3 | 607, 117, 791, 603, 42 |
| 3 | 607, 39, 791, 201, 14 |
| 7 | 607, 13, 791, 67, 14 |
| 607, 13, 113, 67, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 607 x 13 x 113 x 67 x 2 = 30110351544
Therefore, the lowest common multiple of 607,468,791,603,168 is 30110351544.
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.
607 x 468 x 791 x 603 x 168 = 22763425767264
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.
607 : 1, 607
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
791 : 1, 7, 113, 791
603 : 1, 3, 9, 67, 201, 603
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,468,791,603,168, is 1.
Now, the common factors can be found like this.
607:607
468:2x 2x 3x 3x 13
791:7x 113
603:3x 3x 67
168:2x 2x 2x 3x 7
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 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 22763425767264/(1x756)
LCM = 22763425767264/756
LCM = 30110351544
Thus, we can understand that the LCM of 607,468,791,603,168 is 30110351544.
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FAQs on LCM of 607, 468, 791, 603, 168
1. What is the LCM of 607, 468, 791, 603, 168?
Answer: LCM of 607, 468, 791, 603, 168 is 30110351544.
2. How to calculate the LCM of 607, 468, 791, 603, 168?
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 607, 468, 791, 603, 168.
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}.