LCM of 824, 288, 242, 515, 150
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 288, 242, 515, 150 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 824, 288, 242, 515, 150. So, keep reading to learn more.
Given numbers are 824,288,242,515,150
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,288,242,515,150 is 89733600.
Find LCM of 824,288,242,515,150 with Prime Factorization
| 2 | 824, 288, 242, 515, 150 |
| 2 | 412, 144, 121, 515, 75 |
| 2 | 206, 72, 121, 515, 75 |
| 3 | 103, 36, 121, 515, 75 |
| 5 | 103, 12, 121, 515, 25 |
| 103 | 103, 12, 121, 103, 5 |
| 1, 12, 121, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 103 x 1 x 12 x 121 x 1 x 5 = 89733600
Therefore, the lowest common multiple of 824,288,242,515,150 is 89733600.
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.
824 x 288 x 242 x 515 x 150 = 4436429184000
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
242 : 1, 2, 11, 22, 121, 242
515 : 1, 5, 103, 515
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,288,242,515,150, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
288:2x 2x 2x 2x 2x 3x 3
242:2x 11x 11
515:5x 103
150:2x 3x 5x 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 2x 2x 2x 3x 5x 103 = 49440
Therefore, the value for common factors is 49440.
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 = 4436429184000/(1x49440)
LCM = 4436429184000/49440
LCM = 89733600
Thus, we can understand that the LCM of 824,288,242,515,150 is 89733600.
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FAQs on LCM of 824, 288, 242, 515, 150
1. What is the LCM of 824, 288, 242, 515, 150?
Answer: LCM of 824, 288, 242, 515, 150 is 89733600.
2. How to calculate the LCM of 824, 288, 242, 515, 150?
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 824, 288, 242, 515, 150.
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}.