LCM of 360, 741, 302, 550, 227
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 360, 741, 302, 550, 227 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 360, 741, 302, 550, 227. So, keep reading to learn more.
Given numbers are 360,741,302,550,227
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 360,741,302,550,227 is 167635096200.
Find LCM of 360,741,302,550,227 with Prime Factorization
| 2 | 360, 741, 302, 550, 227 |
| 3 | 180, 741, 151, 275, 227 |
| 5 | 60, 247, 151, 275, 227 |
| 12, 247, 151, 55, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 12 x 247 x 151 x 55 x 227 = 167635096200
Therefore, the lowest common multiple of 360,741,302,550,227 is 167635096200.
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.
360 x 741 x 302 x 550 x 227 = 10058105772000
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.
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
741 : 1, 3, 13, 19, 39, 57, 247, 741
302 : 1, 2, 151, 302
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
227 : 1, 227
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,741,302,550,227, is 1.
Now, the common factors can be found like this.
360:2x 2x 2x 3x 3x 5
741:3x 13x 19
302:2x 151
550:2x 5x 5x 11
227:227
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 5 = 60
Therefore, the value for common factors is 60.
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 = 10058105772000/(1x60)
LCM = 10058105772000/60
LCM = 167635096200
Thus, we can understand that the LCM of 360,741,302,550,227 is 167635096200.
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FAQs on LCM of 360, 741, 302, 550, 227
1. What is the LCM of 360, 741, 302, 550, 227?
Answer: LCM of 360, 741, 302, 550, 227 is 167635096200.
2. How to calculate the LCM of 360, 741, 302, 550, 227?
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 360, 741, 302, 550, 227.
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}.