LCM of 948, 107, 330, 495, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 107, 330, 495, 399 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 948, 107, 330, 495, 399. So, keep reading to learn more.
Given numbers are 948,107,330,495,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,107,330,495,399 is 2226013020.
Find LCM of 948,107,330,495,399 with Prime Factorization
| 2 | 948, 107, 330, 495, 399 |
| 3 | 474, 107, 165, 495, 399 |
| 5 | 158, 107, 55, 165, 133 |
| 11 | 158, 107, 11, 33, 133 |
| 158, 107, 1, 3, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 158 x 107 x 1 x 3 x 133 = 2226013020
Therefore, the lowest common multiple of 948,107,330,495,399 is 2226013020.
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.
948 x 107 x 330 x 495 x 399 = 6611258669400
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
107 : 1, 107
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,107,330,495,399, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
107:107
330:2x 3x 5x 11
495:3x 3x 5x 11
399:3x 7x 19
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 3x 5x 11 = 2970
Therefore, the value for common factors is 2970.
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 = 6611258669400/(1x2970)
LCM = 6611258669400/2970
LCM = 2226013020
Thus, we can understand that the LCM of 948,107,330,495,399 is 2226013020.
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FAQs on LCM of 948, 107, 330, 495, 399
1. What is the LCM of 948, 107, 330, 495, 399?
Answer: LCM of 948, 107, 330, 495, 399 is 2226013020.
2. How to calculate the LCM of 948, 107, 330, 495, 399?
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 948, 107, 330, 495, 399.
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}.