LCM of 360, 528, 810, 361, 124
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 360, 528, 810, 361, 124 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, 528, 810, 361, 124. So, keep reading to learn more.
Given numbers are 360,528,810,361,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 360,528,810,361,124 is 797694480.
Find LCM of 360,528,810,361,124 with Prime Factorization
| 2 | 360, 528, 810, 361, 124 |
| 2 | 180, 264, 405, 361, 62 |
| 2 | 90, 132, 405, 361, 31 |
| 3 | 45, 66, 405, 361, 31 |
| 3 | 15, 22, 135, 361, 31 |
| 5 | 5, 22, 45, 361, 31 |
| 1, 22, 9, 361, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 1 x 22 x 9 x 361 x 31 = 797694480
Therefore, the lowest common multiple of 360,528,810,361,124 is 797694480.
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 528 x 810 x 361 x 124 = 6892080307200
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
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
361 : 1, 19, 361
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,528,810,361,124, is 1.
Now, the common factors can be found like this.
360:2x 2x 2x 3x 3x 5
528:2x 2x 2x 2x 3x 11
810:2x 3x 3x 3x 3x 5
361:19x 19
124:2x 2x 31
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 = 6892080307200/(1x8640)
LCM = 6892080307200/8640
LCM = 797694480
Thus, we can understand that the LCM of 360,528,810,361,124 is 797694480.
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FAQs on LCM of 360, 528, 810, 361, 124
1. What is the LCM of 360, 528, 810, 361, 124?
Answer: LCM of 360, 528, 810, 361, 124 is 797694480.
2. How to calculate the LCM of 360, 528, 810, 361, 124?
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, 528, 810, 361, 124.
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}.