LCM of 658, 926, 260, 221, 926
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 926, 260, 221, 926 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 658, 926, 260, 221, 926. So, keep reading to learn more.
Given numbers are 658,926,260,221,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,926,260,221,926 is 673285340.
Find LCM of 658,926,260,221,926 with Prime Factorization
| 2 | 658, 926, 260, 221, 926 |
| 13 | 329, 463, 130, 221, 463 |
| 463 | 329, 463, 10, 17, 463 |
| 329, 1, 10, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 463 x 329 x 1 x 10 x 17 x 1 = 673285340
Therefore, the lowest common multiple of 658,926,260,221,926 is 673285340.
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.
658 x 926 x 260 x 221 x 926 = 32420035691680
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
926 : 1, 2, 463, 926
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
221 : 1, 13, 17, 221
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,926,260,221,926, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
926:2x 463
260:2x 2x 5x 13
221:13x 17
926:2x 463
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 13x 463 = 48152
Therefore, the value for common factors is 48152.
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 = 32420035691680/(1x48152)
LCM = 32420035691680/48152
LCM = 673285340
Thus, we can understand that the LCM of 658,926,260,221,926 is 673285340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 658, 926, 260, 221, 926
1. What is the LCM of 658, 926, 260, 221, 926?
Answer: LCM of 658, 926, 260, 221, 926 is 673285340.
2. How to calculate the LCM of 658, 926, 260, 221, 926?
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 658, 926, 260, 221, 926.
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}.