LCM of 139, 616, 660, 731, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 139, 616, 660, 731, 296 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 139, 616, 660, 731, 296. So, keep reading to learn more.
Given numbers are 139,616,660,731,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,616,660,731,296 is 34738084920.
Find LCM of 139,616,660,731,296 with Prime Factorization
| 2 | 139, 616, 660, 731, 296 |
| 2 | 139, 308, 330, 731, 148 |
| 2 | 139, 154, 165, 731, 74 |
| 11 | 139, 77, 165, 731, 37 |
| 139, 7, 15, 731, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 139 x 7 x 15 x 731 x 37 = 34738084920
Therefore, the lowest common multiple of 139,616,660,731,296 is 34738084920.
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.
139 x 616 x 660 x 731 x 296 = 12227805891840
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.
139 : 1, 139
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
731 : 1, 17, 43, 731
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,616,660,731,296, is 1.
Now, the common factors can be found like this.
139:139
616:2x 2x 2x 7x 11
660:2x 2x 3x 5x 11
731:17x 43
296:2x 2x 2x 37
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 = 12227805891840/(1x352)
LCM = 12227805891840/352
LCM = 34738084920
Thus, we can understand that the LCM of 139,616,660,731,296 is 34738084920.
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FAQs on LCM of 139, 616, 660, 731, 296
1. What is the LCM of 139, 616, 660, 731, 296?
Answer: LCM of 139, 616, 660, 731, 296 is 34738084920.
2. How to calculate the LCM of 139, 616, 660, 731, 296?
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 139, 616, 660, 731, 296.
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}.