LCM of 317, 294, 537, 895, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 294, 537, 895, 450 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 317, 294, 537, 895, 450. So, keep reading to learn more.
Given numbers are 317,294,537,895,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,294,537,895,450 is 1251183150.
Find LCM of 317,294,537,895,450 with Prime Factorization
| 2 | 317, 294, 537, 895, 450 |
| 3 | 317, 147, 537, 895, 225 |
| 5 | 317, 49, 179, 895, 75 |
| 179 | 317, 49, 179, 179, 15 |
| 317, 49, 1, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 179 x 317 x 49 x 1 x 1 x 15 = 1251183150
Therefore, the lowest common multiple of 317,294,537,895,450 is 1251183150.
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.
317 x 294 x 537 x 895 x 450 = 20156560546500
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.
317 : 1, 317
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
537 : 1, 3, 179, 537
895 : 1, 5, 179, 895
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,294,537,895,450, is 1.
Now, the common factors can be found like this.
317:317
294:2x 3x 7x 7
537:3x 179
895:5x 179
450:2x 3x 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 3x 3x 5x 179 = 16110
Therefore, the value for common factors is 16110.
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 = 20156560546500/(1x16110)
LCM = 20156560546500/16110
LCM = 1251183150
Thus, we can understand that the LCM of 317,294,537,895,450 is 1251183150.
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FAQs on LCM of 317, 294, 537, 895, 450
1. What is the LCM of 317, 294, 537, 895, 450?
Answer: LCM of 317, 294, 537, 895, 450 is 1251183150.
2. How to calculate the LCM of 317, 294, 537, 895, 450?
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 317, 294, 537, 895, 450.
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}.