LCM of 787, 796, 564, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 796, 564, 814 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, 796, 564, 814. So, keep reading to learn more.
Given numbers are 787,796,564,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,796,564,814 is 35950200924.
Find LCM of 787,796,564,814 with Prime Factorization
| 2 | 787, 796, 564, 814 |
| 2 | 787, 398, 282, 407 |
| 787, 199, 141, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 787 x 199 x 141 x 407 = 35950200924
Therefore, the lowest common multiple of 787,796,564,814 is 35950200924.
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 796 x 564 x 814 = 287601607392
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
796 : 1, 2, 4, 199, 398, 796
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,796,564,814, is 1.
Now, the common factors can be found like this.
787:787
796:2x 2x 199
564:2x 2x 3x 47
814:2x 11x 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 2 = 8
Therefore, the value for common factors is 8.
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 = 287601607392/(1x8)
LCM = 287601607392/8
LCM = 35950200924
Thus, we can understand that the LCM of 787,796,564,814 is 35950200924.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 787, 796, 564, 814
1. What is the LCM of 787, 796, 564, 814?
Answer: LCM of 787, 796, 564, 814 is 35950200924.
2. How to calculate the LCM of 787, 796, 564, 814?
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, 796, 564, 814.
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}.