LCM of 948, 681, 447, 345, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 681, 447, 345, 576 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, 681, 447, 345, 576. So, keep reading to learn more.
Given numbers are 948,681,447,345,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,681,447,345,576 is 176994406080.
Find LCM of 948,681,447,345,576 with Prime Factorization
| 2 | 948, 681, 447, 345, 576 |
| 2 | 474, 681, 447, 345, 288 |
| 3 | 237, 681, 447, 345, 144 |
| 79, 227, 149, 115, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 79 x 227 x 149 x 115 x 48 = 176994406080
Therefore, the lowest common multiple of 948,681,447,345,576 is 176994406080.
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 681 x 447 x 345 x 576 = 57346187569920
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
681 : 1, 3, 227, 681
447 : 1, 3, 149, 447
345 : 1, 3, 5, 15, 23, 69, 115, 345
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,681,447,345,576, is 3.
Now, the common factors can be found like this.
948:2x 2x 3x 79
681:3x 227
447:3x 149
345:3x 5x 23
576:2x 2x 2x 2x 2x 2x 3x 3
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 57346187569920/(3x108)
LCM = 57346187569920/324
LCM = 176994406080
Thus, we can understand that the LCM of 948,681,447,345,576 is 176994406080.
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FAQs on LCM of 948, 681, 447, 345, 576
1. What is the LCM of 948, 681, 447, 345, 576?
Answer: LCM of 948, 681, 447, 345, 576 is 176994406080.
2. How to calculate the LCM of 948, 681, 447, 345, 576?
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, 681, 447, 345, 576.
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}.