LCM of 926, 690, 289, 867, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 690, 289, 867, 706 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 926, 690, 289, 867, 706. So, keep reading to learn more.
Given numbers are 926,690,289,867,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,690,289,867,706 is 32591370990.
Find LCM of 926,690,289,867,706 with Prime Factorization
| 2 | 926, 690, 289, 867, 706 |
| 3 | 463, 345, 289, 867, 353 |
| 17 | 463, 115, 289, 289, 353 |
| 17 | 463, 115, 17, 17, 353 |
| 463, 115, 1, 1, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 17 x 463 x 115 x 1 x 1 x 353 = 32591370990
Therefore, the lowest common multiple of 926,690,289,867,706 is 32591370990.
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.
926 x 690 x 289 x 867 x 706 = 113026874593320
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.
926 : 1, 2, 463, 926
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
289 : 1, 17, 289
867 : 1, 3, 17, 51, 289, 867
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,690,289,867,706, is 1.
Now, the common factors can be found like this.
926:2x 463
690:2x 3x 5x 23
289:17x 17
867:3x 17x 17
706:2x 353
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 17x 17 = 3468
Therefore, the value for common factors is 3468.
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 = 113026874593320/(1x3468)
LCM = 113026874593320/3468
LCM = 32591370990
Thus, we can understand that the LCM of 926,690,289,867,706 is 32591370990.
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FAQs on LCM of 926, 690, 289, 867, 706
1. What is the LCM of 926, 690, 289, 867, 706?
Answer: LCM of 926, 690, 289, 867, 706 is 32591370990.
2. How to calculate the LCM of 926, 690, 289, 867, 706?
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 926, 690, 289, 867, 706.
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}.