LCM of 607, 412, 608, 724, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 412, 608, 724, 840 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, 412, 608, 724, 840. So, keep reading to learn more.
Given numbers are 607,412,608,724,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,412,608,724,840 is 722432655840.
Find LCM of 607,412,608,724,840 with Prime Factorization
| 2 | 607, 412, 608, 724, 840 |
| 2 | 607, 206, 304, 362, 420 |
| 2 | 607, 103, 152, 181, 210 |
| 607, 103, 76, 181, 105 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 607 x 103 x 76 x 181 x 105 = 722432655840
Therefore, the lowest common multiple of 607,412,608,724,840 is 722432655840.
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 412 x 608 x 724 x 840 = 92471379947520
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
412 : 1, 2, 4, 103, 206, 412
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
724 : 1, 2, 4, 181, 362, 724
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,412,608,724,840, is 1.
Now, the common factors can be found like this.
607:607
412:2x 2x 103
608:2x 2x 2x 2x 2x 19
724:2x 2x 181
840:2x 2x 2x 3x 5x 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 2x 2x 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 92471379947520/(1x128)
LCM = 92471379947520/128
LCM = 722432655840
Thus, we can understand that the LCM of 607,412,608,724,840 is 722432655840.
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FAQs on LCM of 607, 412, 608, 724, 840
1. What is the LCM of 607, 412, 608, 724, 840?
Answer: LCM of 607, 412, 608, 724, 840 is 722432655840.
2. How to calculate the LCM of 607, 412, 608, 724, 840?
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, 412, 608, 724, 840.
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}.