LCM of 452, 320, 565, 895, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 320, 565, 895, 464 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 452, 320, 565, 895, 464. So, keep reading to learn more.
Given numbers are 452,320,565,895,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,320,565,895,464 is 187706560.
Find LCM of 452,320,565,895,464 with Prime Factorization
| 2 | 452, 320, 565, 895, 464 |
| 2 | 226, 160, 565, 895, 232 |
| 2 | 113, 80, 565, 895, 116 |
| 2 | 113, 40, 565, 895, 58 |
| 5 | 113, 20, 565, 895, 29 |
| 113 | 113, 4, 113, 179, 29 |
| 1, 4, 1, 179, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 113 x 1 x 4 x 1 x 179 x 29 = 187706560
Therefore, the lowest common multiple of 452,320,565,895,464 is 187706560.
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.
452 x 320 x 565 x 895 x 464 = 33937346048000
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.
452 : 1, 2, 4, 113, 226, 452
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
565 : 1, 5, 113, 565
895 : 1, 5, 179, 895
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,320,565,895,464, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
320:2x 2x 2x 2x 2x 2x 5
565:5x 113
895:5x 179
464:2x 2x 2x 2x 29
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 5x 5x 113 = 180800
Therefore, the value for common factors is 180800.
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 = 33937346048000/(1x180800)
LCM = 33937346048000/180800
LCM = 187706560
Thus, we can understand that the LCM of 452,320,565,895,464 is 187706560.
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FAQs on LCM of 452, 320, 565, 895, 464
1. What is the LCM of 452, 320, 565, 895, 464?
Answer: LCM of 452, 320, 565, 895, 464 is 187706560.
2. How to calculate the LCM of 452, 320, 565, 895, 464?
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 452, 320, 565, 895, 464.
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}.