LCM of 229, 391, 939, 610, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 391, 939, 610, 136 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 229, 391, 939, 610, 136. So, keep reading to learn more.
Given numbers are 229,391,939,610,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,391,939,610,136 is 205148175240.
Find LCM of 229,391,939,610,136 with Prime Factorization
| 2 | 229, 391, 939, 610, 136 |
| 17 | 229, 391, 939, 305, 68 |
| 229, 23, 939, 305, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 229 x 23 x 939 x 305 x 4 = 205148175240
Therefore, the lowest common multiple of 229,391,939,610,136 is 205148175240.
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.
229 x 391 x 939 x 610 x 136 = 6975037958160
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.
229 : 1, 229
391 : 1, 17, 23, 391
939 : 1, 3, 313, 939
610 : 1, 2, 5, 10, 61, 122, 305, 610
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,391,939,610,136, is 1.
Now, the common factors can be found like this.
229:229
391:17x 23
939:3x 313
610:2x 5x 61
136:2x 2x 2x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 6975037958160/(1x34)
LCM = 6975037958160/34
LCM = 205148175240
Thus, we can understand that the LCM of 229,391,939,610,136 is 205148175240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 229, 391, 939, 610, 136
1. What is the LCM of 229, 391, 939, 610, 136?
Answer: LCM of 229, 391, 939, 610, 136 is 205148175240.
2. How to calculate the LCM of 229, 391, 939, 610, 136?
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 229, 391, 939, 610, 136.
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}.