LCM of 851, 216, 180, 345, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 216, 180, 345, 745 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 851, 216, 180, 345, 745. So, keep reading to learn more.
Given numbers are 851,216,180,345,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,216,180,345,745 is 136942920.
Find LCM of 851,216,180,345,745 with Prime Factorization
| 2 | 851, 216, 180, 345, 745 |
| 2 | 851, 108, 90, 345, 745 |
| 3 | 851, 54, 45, 345, 745 |
| 3 | 851, 18, 15, 115, 745 |
| 5 | 851, 6, 5, 115, 745 |
| 23 | 851, 6, 1, 23, 149 |
| 37, 6, 1, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 23 x 37 x 6 x 1 x 1 x 149 = 136942920
Therefore, the lowest common multiple of 851,216,180,345,745 is 136942920.
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.
851 x 216 x 180 x 345 x 745 = 8504155332000
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.
851 : 1, 23, 37, 851
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
345 : 1, 3, 5, 15, 23, 69, 115, 345
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,216,180,345,745, is 1.
Now, the common factors can be found like this.
851:23x 37
216:2x 2x 2x 3x 3x 3
180:2x 2x 3x 3x 5
345:3x 5x 23
745:5x 149
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 3x 3x 5x 5x 23 = 62100
Therefore, the value for common factors is 62100.
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 = 8504155332000/(1x62100)
LCM = 8504155332000/62100
LCM = 136942920
Thus, we can understand that the LCM of 851,216,180,345,745 is 136942920.
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FAQs on LCM of 851, 216, 180, 345, 745
1. What is the LCM of 851, 216, 180, 345, 745?
Answer: LCM of 851, 216, 180, 345, 745 is 136942920.
2. How to calculate the LCM of 851, 216, 180, 345, 745?
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 851, 216, 180, 345, 745.
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}.