LCM of 536, 270, 275, 216, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 536, 270, 275, 216, 916 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 536, 270, 275, 216, 916. So, keep reading to learn more.
Given numbers are 536,270,275,216,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 536,270,275,216,916 is 911374200.
Find LCM of 536,270,275,216,916 with Prime Factorization
| 2 | 536, 270, 275, 216, 916 |
| 2 | 268, 135, 275, 108, 458 |
| 2 | 134, 135, 275, 54, 229 |
| 3 | 67, 135, 275, 27, 229 |
| 3 | 67, 45, 275, 9, 229 |
| 3 | 67, 15, 275, 3, 229 |
| 5 | 67, 5, 275, 1, 229 |
| 67, 1, 55, 1, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 5 x 67 x 1 x 55 x 1 x 229 = 911374200
Therefore, the lowest common multiple of 536,270,275,216,916 is 911374200.
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.
536 x 270 x 275 x 216 x 916 = 7874273088000
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.
536 : 1, 2, 4, 8, 67, 134, 268, 536
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
275 : 1, 5, 11, 25, 55, 275
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,270,275,216,916, is 1.
Now, the common factors can be found like this.
536:2x 2x 2x 67
270:2x 3x 3x 3x 5
275:5x 5x 11
216:2x 2x 2x 3x 3x 3
916:2x 2x 229
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 2x 2x 3x 3x 3x 5 = 8640
Therefore, the value for common factors is 8640.
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 = 7874273088000/(1x8640)
LCM = 7874273088000/8640
LCM = 911374200
Thus, we can understand that the LCM of 536,270,275,216,916 is 911374200.
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FAQs on LCM of 536, 270, 275, 216, 916
1. What is the LCM of 536, 270, 275, 216, 916?
Answer: LCM of 536, 270, 275, 216, 916 is 911374200.
2. How to calculate the LCM of 536, 270, 275, 216, 916?
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 536, 270, 275, 216, 916.
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}.