LCM of 453, 846, 329, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 453, 846, 329, 315 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 453, 846, 329, 315. So, keep reading to learn more.
Given numbers are 453,846,329,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 453,846,329,315 is 4471110.
Find LCM of 453,846,329,315 with Prime Factorization
| 3 | 453, 846, 329, 315 |
| 3 | 151, 282, 329, 105 |
| 7 | 151, 94, 329, 35 |
| 47 | 151, 94, 47, 5 |
| 151, 2, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 47 x 151 x 2 x 1 x 5 = 4471110
Therefore, the lowest common multiple of 453,846,329,315 is 4471110.
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.
453 x 846 x 329 x 315 = 39716870130
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.
453 : 1, 3, 151, 453
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
329 : 1, 7, 47, 329
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,846,329,315, is 1.
Now, the common factors can be found like this.
453:3x 151
846:2x 3x 3x 47
329:7x 47
315:3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 47 = 8883
Therefore, the value for common factors is 8883.
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 = 39716870130/(1x8883)
LCM = 39716870130/8883
LCM = 4471110
Thus, we can understand that the LCM of 453,846,329,315 is 4471110.
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FAQs on LCM of 453, 846, 329, 315
1. What is the LCM of 453, 846, 329, 315?
Answer: LCM of 453, 846, 329, 315 is 4471110.
2. How to calculate the LCM of 453, 846, 329, 315?
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 453, 846, 329, 315.
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}.