LCM of 480, 112, 341, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 112, 341, 957 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 480, 112, 341, 957. So, keep reading to learn more.
Given numbers are 480,112,341,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,112,341,957 is 33227040.
Find LCM of 480,112,341,957 with Prime Factorization
| 2 | 480, 112, 341, 957 |
| 2 | 240, 56, 341, 957 |
| 2 | 120, 28, 341, 957 |
| 2 | 60, 14, 341, 957 |
| 3 | 30, 7, 341, 957 |
| 11 | 10, 7, 341, 319 |
| 10, 7, 31, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 10 x 7 x 31 x 29 = 33227040
Therefore, the lowest common multiple of 480,112,341,957 is 33227040.
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.
480 x 112 x 341 x 957 = 17543877120
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
341 : 1, 11, 31, 341
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,112,341,957, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
112:2x 2x 2x 2x 7
341:11x 31
957:3x 11x 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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 17543877120/(1x528)
LCM = 17543877120/528
LCM = 33227040
Thus, we can understand that the LCM of 480,112,341,957 is 33227040.
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FAQs on LCM of 480, 112, 341, 957
1. What is the LCM of 480, 112, 341, 957?
Answer: LCM of 480, 112, 341, 957 is 33227040.
2. How to calculate the LCM of 480, 112, 341, 957?
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 480, 112, 341, 957.
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}.