LCM of 814, 962, 837, 616, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 962, 837, 616, 868 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 814, 962, 837, 616, 868. So, keep reading to learn more.
Given numbers are 814,962,837,616,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,962,837,616,868 is 247999752.
Find LCM of 814,962,837,616,868 with Prime Factorization
| 2 | 814, 962, 837, 616, 868 |
| 2 | 407, 481, 837, 308, 434 |
| 7 | 407, 481, 837, 154, 217 |
| 11 | 407, 481, 837, 22, 31 |
| 31 | 37, 481, 837, 2, 31 |
| 37 | 37, 481, 27, 2, 1 |
| 1, 13, 27, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 31 x 37 x 1 x 13 x 27 x 2 x 1 = 247999752
Therefore, the lowest common multiple of 814,962,837,616,868 is 247999752.
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.
814 x 962 x 837 x 616 x 868 = 350449441550208
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
962 : 1, 2, 13, 26, 37, 74, 481, 962
837 : 1, 3, 9, 27, 31, 93, 279, 837
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,962,837,616,868, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
962:2x 13x 37
837:3x 3x 3x 31
616:2x 2x 2x 7x 11
868:2x 2x 7x 31
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 7x 11x 31x 37 = 1413104
Therefore, the value for common factors is 1413104.
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 = 350449441550208/(1x1413104)
LCM = 350449441550208/1413104
LCM = 247999752
Thus, we can understand that the LCM of 814,962,837,616,868 is 247999752.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 962, 837, 616, 868
1. What is the LCM of 814, 962, 837, 616, 868?
Answer: LCM of 814, 962, 837, 616, 868 is 247999752.
2. How to calculate the LCM of 814, 962, 837, 616, 868?
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 814, 962, 837, 616, 868.
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}.