LCM of 834, 697, 834, 902, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 697, 834, 902, 805 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 834, 697, 834, 902, 805. So, keep reading to learn more.
Given numbers are 834,697,834,902,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,697,834,902,805 is 5147393790.
Find LCM of 834,697,834,902,805 with Prime Factorization
| 2 | 834, 697, 834, 902, 805 |
| 3 | 417, 697, 417, 451, 805 |
| 41 | 139, 697, 139, 451, 805 |
| 139 | 139, 17, 139, 11, 805 |
| 1, 17, 1, 11, 805 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 139 x 1 x 17 x 1 x 11 x 805 = 5147393790
Therefore, the lowest common multiple of 834,697,834,902,805 is 5147393790.
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.
834 x 697 x 834 x 902 x 805 = 352019966510520
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
697 : 1, 17, 41, 697
834 : 1, 2, 3, 6, 139, 278, 417, 834
902 : 1, 2, 11, 22, 41, 82, 451, 902
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,697,834,902,805, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
697:17x 41
834:2x 3x 139
902:2x 11x 41
805:5x 7x 23
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 3x 41x 139 = 68388
Therefore, the value for common factors is 68388.
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 = 352019966510520/(1x68388)
LCM = 352019966510520/68388
LCM = 5147393790
Thus, we can understand that the LCM of 834,697,834,902,805 is 5147393790.
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FAQs on LCM of 834, 697, 834, 902, 805
1. What is the LCM of 834, 697, 834, 902, 805?
Answer: LCM of 834, 697, 834, 902, 805 is 5147393790.
2. How to calculate the LCM of 834, 697, 834, 902, 805?
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 834, 697, 834, 902, 805.
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}.