LCM of 606, 107, 214, 895, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 107, 214, 895, 180 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 606, 107, 214, 895, 180. So, keep reading to learn more.
Given numbers are 606,107,214,895,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,107,214,895,180 is 348201540.
Find LCM of 606,107,214,895,180 with Prime Factorization
| 2 | 606, 107, 214, 895, 180 |
| 3 | 303, 107, 107, 895, 90 |
| 5 | 101, 107, 107, 895, 30 |
| 107 | 101, 107, 107, 179, 6 |
| 101, 1, 1, 179, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 107 x 101 x 1 x 1 x 179 x 6 = 348201540
Therefore, the lowest common multiple of 606,107,214,895,180 is 348201540.
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.
606 x 107 x 214 x 895 x 180 = 2235453886800
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
107 : 1, 107
214 : 1, 2, 107, 214
895 : 1, 5, 179, 895
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,107,214,895,180, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
107:107
214:2x 107
895:5x 179
180:2x 2x 3x 3x 5
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 5x 107 = 6420
Therefore, the value for common factors is 6420.
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 = 2235453886800/(1x6420)
LCM = 2235453886800/6420
LCM = 348201540
Thus, we can understand that the LCM of 606,107,214,895,180 is 348201540.
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FAQs on LCM of 606, 107, 214, 895, 180
1. What is the LCM of 606, 107, 214, 895, 180?
Answer: LCM of 606, 107, 214, 895, 180 is 348201540.
2. How to calculate the LCM of 606, 107, 214, 895, 180?
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 606, 107, 214, 895, 180.
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}.