LCM of 258, 109, 936, 722, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 109, 936, 722, 637 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 258, 109, 936, 722, 637. So, keep reading to learn more.
Given numbers are 258,109,936,722,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,109,936,722,637 is 77602209048.
Find LCM of 258,109,936,722,637 with Prime Factorization
| 2 | 258, 109, 936, 722, 637 |
| 3 | 129, 109, 468, 361, 637 |
| 13 | 43, 109, 156, 361, 637 |
| 43, 109, 12, 361, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 43 x 109 x 12 x 361 x 49 = 77602209048
Therefore, the lowest common multiple of 258,109,936,722,637 is 77602209048.
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.
258 x 109 x 936 x 722 x 637 = 12105944611488
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.
258 : 1, 2, 3, 6, 43, 86, 129, 258
109 : 1, 109
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
722 : 1, 2, 19, 38, 361, 722
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,109,936,722,637, is 1.
Now, the common factors can be found like this.
258:2x 3x 43
109:109
936:2x 2x 2x 3x 3x 13
722:2x 19x 19
637:7x 7x 13
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 13 = 156
Therefore, the value for common factors is 156.
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 = 12105944611488/(1x156)
LCM = 12105944611488/156
LCM = 77602209048
Thus, we can understand that the LCM of 258,109,936,722,637 is 77602209048.
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FAQs on LCM of 258, 109, 936, 722, 637
1. What is the LCM of 258, 109, 936, 722, 637?
Answer: LCM of 258, 109, 936, 722, 637 is 77602209048.
2. How to calculate the LCM of 258, 109, 936, 722, 637?
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 258, 109, 936, 722, 637.
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}.