LCM of 787, 196, 264, 410, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 196, 264, 410, 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 787, 196, 264, 410, 616. So, keep reading to learn more.
Given numbers are 787,196,264,410,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,196,264,410,616 is 2087029560.
Find LCM of 787,196,264,410,616 with Prime Factorization
| 2 | 787, 196, 264, 410, 616 |
| 2 | 787, 98, 132, 205, 308 |
| 2 | 787, 49, 66, 205, 154 |
| 7 | 787, 49, 33, 205, 77 |
| 11 | 787, 7, 33, 205, 11 |
| 787, 7, 3, 205, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 787 x 7 x 3 x 205 x 1 = 2087029560
Therefore, the lowest common multiple of 787,196,264,410,616 is 2087029560.
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.
787 x 196 x 264 x 410 x 616 = 10284881671680
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.
787 : 1, 787
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
410 : 1, 2, 5, 10, 41, 82, 205, 410
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 787,196,264,410,616, is 1.
Now, the common factors can be found like this.
787:787
196:2x 2x 7x 7
264:2x 2x 2x 3x 11
410:2x 5x 41
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 2x 7x 11 = 4928
Therefore, the value for common factors is 4928.
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 = 10284881671680/(1x4928)
LCM = 10284881671680/4928
LCM = 2087029560
Thus, we can understand that the LCM of 787,196,264,410,616 is 2087029560.
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FAQs on LCM of 787, 196, 264, 410, 616
1. What is the LCM of 787, 196, 264, 410, 616?
Answer: LCM of 787, 196, 264, 410, 616 is 2087029560.
2. How to calculate the LCM of 787, 196, 264, 410, 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 787, 196, 264, 410, 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}.