LCM of 302, 570, 675, 286, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 570, 675, 286, 880 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 302, 570, 675, 286, 880. So, keep reading to learn more.
Given numbers are 302,570,675,286,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,570,675,286,880 is 4430883600.
Find LCM of 302,570,675,286,880 with Prime Factorization
| 2 | 302, 570, 675, 286, 880 |
| 3 | 151, 285, 675, 143, 440 |
| 5 | 151, 95, 225, 143, 440 |
| 11 | 151, 19, 45, 143, 88 |
| 151, 19, 45, 13, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 151 x 19 x 45 x 13 x 8 = 4430883600
Therefore, the lowest common multiple of 302,570,675,286,880 is 4430883600.
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.
302 x 570 x 675 x 286 x 880 = 29243831760000
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.
302 : 1, 2, 151, 302
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
286 : 1, 2, 11, 13, 22, 26, 143, 286
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,570,675,286,880, is 1.
Now, the common factors can be found like this.
302:2x 151
570:2x 3x 5x 19
675:3x 3x 3x 5x 5
286:2x 11x 13
880:2x 2x 2x 2x 5x 11
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 3x 5x 5x 11 = 6600
Therefore, the value for common factors is 6600.
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 = 29243831760000/(1x6600)
LCM = 29243831760000/6600
LCM = 4430883600
Thus, we can understand that the LCM of 302,570,675,286,880 is 4430883600.
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FAQs on LCM of 302, 570, 675, 286, 880
1. What is the LCM of 302, 570, 675, 286, 880?
Answer: LCM of 302, 570, 675, 286, 880 is 4430883600.
2. How to calculate the LCM of 302, 570, 675, 286, 880?
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 302, 570, 675, 286, 880.
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}.