LCM of 315, 140, 216, 550, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 140, 216, 550, 162 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 315, 140, 216, 550, 162. So, keep reading to learn more.
Given numbers are 315,140,216,550,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,140,216,550,162 is 1247400.
Find LCM of 315,140,216,550,162 with Prime Factorization
| 2 | 315, 140, 216, 550, 162 |
| 2 | 315, 70, 108, 275, 81 |
| 3 | 315, 35, 54, 275, 81 |
| 3 | 105, 35, 18, 275, 27 |
| 3 | 35, 35, 6, 275, 9 |
| 5 | 35, 35, 2, 275, 3 |
| 7 | 7, 7, 2, 55, 3 |
| 1, 1, 2, 55, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 7 x 1 x 1 x 2 x 55 x 3 = 1247400
Therefore, the lowest common multiple of 315,140,216,550,162 is 1247400.
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.
315 x 140 x 216 x 550 x 162 = 848730960000
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,140,216,550,162, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
140:2x 2x 5x 7
216:2x 2x 2x 3x 3x 3
550:2x 5x 5x 11
162:2x 3x 3x 3x 3
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 3x 3x 3x 3x 3x 5x 5x 7 = 680400
Therefore, the value for common factors is 680400.
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 = 848730960000/(1x680400)
LCM = 848730960000/680400
LCM = 1247400
Thus, we can understand that the LCM of 315,140,216,550,162 is 1247400.
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FAQs on LCM of 315, 140, 216, 550, 162
1. What is the LCM of 315, 140, 216, 550, 162?
Answer: LCM of 315, 140, 216, 550, 162 is 1247400.
2. How to calculate the LCM of 315, 140, 216, 550, 162?
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 315, 140, 216, 550, 162.
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}.