LCM of 155, 230, 587, 598, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 155, 230, 587, 598, 308 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 155, 230, 587, 598, 308. So, keep reading to learn more.
Given numbers are 155,230,587,598,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 155,230,587,598,308 is 8378990620.
Find LCM of 155,230,587,598,308 with Prime Factorization
| 2 | 155, 230, 587, 598, 308 |
| 5 | 155, 115, 587, 299, 154 |
| 23 | 31, 23, 587, 299, 154 |
| 31, 1, 587, 13, 154 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 31 x 1 x 587 x 13 x 154 = 8378990620
Therefore, the lowest common multiple of 155,230,587,598,308 is 8378990620.
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.
155 x 230 x 587 x 598 x 308 = 3854335685200
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.
155 : 1, 5, 31, 155
230 : 1, 2, 5, 10, 23, 46, 115, 230
587 : 1, 587
598 : 1, 2, 13, 23, 26, 46, 299, 598
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,230,587,598,308, is 1.
Now, the common factors can be found like this.
155:5x 31
230:2x 5x 23
587:587
598:2x 13x 23
308:2x 2x 7x 11
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 5x 23 = 460
Therefore, the value for common factors is 460.
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 = 3854335685200/(1x460)
LCM = 3854335685200/460
LCM = 8378990620
Thus, we can understand that the LCM of 155,230,587,598,308 is 8378990620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 155, 230, 587, 598, 308
1. What is the LCM of 155, 230, 587, 598, 308?
Answer: LCM of 155, 230, 587, 598, 308 is 8378990620.
2. How to calculate the LCM of 155, 230, 587, 598, 308?
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 155, 230, 587, 598, 308.
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}.