LCM of 589, 374, 191, 224, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 374, 191, 224, 208 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 589, 374, 191, 224, 208. So, keep reading to learn more.
Given numbers are 589,374,191,224,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,374,191,224,208 is 61260655456.
Find LCM of 589,374,191,224,208 with Prime Factorization
| 2 | 589, 374, 191, 224, 208 |
| 2 | 589, 187, 191, 112, 104 |
| 2 | 589, 187, 191, 56, 52 |
| 2 | 589, 187, 191, 28, 26 |
| 589, 187, 191, 14, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 589 x 187 x 191 x 14 x 13 = 61260655456
Therefore, the lowest common multiple of 589,374,191,224,208 is 61260655456.
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.
589 x 374 x 191 x 224 x 208 = 1960340974592
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.
589 : 1, 19, 31, 589
374 : 1, 2, 11, 17, 22, 34, 187, 374
191 : 1, 191
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,374,191,224,208, is 1.
Now, the common factors can be found like this.
589:19x 31
374:2x 11x 17
191:191
224:2x 2x 2x 2x 2x 7
208:2x 2x 2x 2x 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 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 1960340974592/(1x32)
LCM = 1960340974592/32
LCM = 61260655456
Thus, we can understand that the LCM of 589,374,191,224,208 is 61260655456.
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FAQs on LCM of 589, 374, 191, 224, 208
1. What is the LCM of 589, 374, 191, 224, 208?
Answer: LCM of 589, 374, 191, 224, 208 is 61260655456.
2. How to calculate the LCM of 589, 374, 191, 224, 208?
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 589, 374, 191, 224, 208.
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}.