LCM of 240, 586, 226, 407, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 586, 226, 407, 616 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 240, 586, 226, 407, 616. So, keep reading to learn more.
Given numbers are 240,586,226,407,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,586,226,407,616 is 22638609840.
Find LCM of 240,586,226,407,616 with Prime Factorization
| 2 | 240, 586, 226, 407, 616 |
| 2 | 120, 293, 113, 407, 308 |
| 2 | 60, 293, 113, 407, 154 |
| 11 | 30, 293, 113, 407, 77 |
| 30, 293, 113, 37, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 30 x 293 x 113 x 37 x 7 = 22638609840
Therefore, the lowest common multiple of 240,586,226,407,616 is 22638609840.
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.
240 x 586 x 226 x 407 x 616 = 7968790663680
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
586 : 1, 2, 293, 586
226 : 1, 2, 113, 226
407 : 1, 11, 37, 407
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,586,226,407,616, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
586:2x 293
226:2x 113
407:11x 37
616:2x 2x 2x 7x 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 2x 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 7968790663680/(1x352)
LCM = 7968790663680/352
LCM = 22638609840
Thus, we can understand that the LCM of 240,586,226,407,616 is 22638609840.
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FAQs on LCM of 240, 586, 226, 407, 616
1. What is the LCM of 240, 586, 226, 407, 616?
Answer: LCM of 240, 586, 226, 407, 616 is 22638609840.
2. How to calculate the LCM of 240, 586, 226, 407, 616?
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 240, 586, 226, 407, 616.
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}.