LCM of 589, 196, 435, 228, 350
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 196, 435, 228, 350 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, 196, 435, 228, 350. So, keep reading to learn more.
Given numbers are 589,196,435,228,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,196,435,228,350 is 251090700.
Find LCM of 589,196,435,228,350 with Prime Factorization
| 2 | 589, 196, 435, 228, 350 |
| 2 | 589, 98, 435, 114, 175 |
| 3 | 589, 49, 435, 57, 175 |
| 5 | 589, 49, 145, 19, 175 |
| 7 | 589, 49, 29, 19, 35 |
| 19 | 589, 7, 29, 19, 5 |
| 31, 7, 29, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 19 x 31 x 7 x 29 x 1 x 5 = 251090700
Therefore, the lowest common multiple of 589,196,435,228,350 is 251090700.
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 196 x 435 x 228 x 350 = 4007407572000
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
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
435 : 1, 3, 5, 15, 29, 87, 145, 435
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,196,435,228,350, is 1.
Now, the common factors can be found like this.
589:19x 31
196:2x 2x 7x 7
435:3x 5x 29
228:2x 2x 3x 19
350:2x 5x 5x 7
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 3x 5x 7x 19 = 15960
Therefore, the value for common factors is 15960.
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 = 4007407572000/(1x15960)
LCM = 4007407572000/15960
LCM = 251090700
Thus, we can understand that the LCM of 589,196,435,228,350 is 251090700.
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FAQs on LCM of 589, 196, 435, 228, 350
1. What is the LCM of 589, 196, 435, 228, 350?
Answer: LCM of 589, 196, 435, 228, 350 is 251090700.
2. How to calculate the LCM of 589, 196, 435, 228, 350?
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, 196, 435, 228, 350.
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}.