LCM of 948, 700, 729, 525, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 700, 729, 525, 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, 700, 729, 525, 576. So, keep reading to learn more.
Given numbers are 948,700,729,525,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,700,729,525,576 is 645019200.
Find LCM of 948,700,729,525,576 with Prime Factorization
| 2 | 948, 700, 729, 525, 576 |
| 2 | 474, 350, 729, 525, 288 |
| 3 | 237, 175, 729, 525, 144 |
| 3 | 79, 175, 243, 175, 48 |
| 5 | 79, 175, 81, 175, 16 |
| 5 | 79, 35, 81, 35, 16 |
| 7 | 79, 7, 81, 7, 16 |
| 79, 1, 81, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 5 x 7 x 79 x 1 x 81 x 1 x 16 = 645019200
Therefore, the lowest common multiple of 948,700,729,525,576 is 645019200.
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 700 x 729 x 525 x 576 = 146290354560000
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
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
729 : 1, 3, 9, 27, 81, 243, 729
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,700,729,525,576, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
700:2x 2x 5x 5x 7
729:3x 3x 3x 3x 3x 3
525:3x 5x 5x 7
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 2x 2x 3x 3x 3x 3x 5x 5x 7 = 226800
Therefore, the value for common factors is 226800.
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 = 146290354560000/(1x226800)
LCM = 146290354560000/226800
LCM = 645019200
Thus, we can understand that the LCM of 948,700,729,525,576 is 645019200.
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FAQs on LCM of 948, 700, 729, 525, 576
1. What is the LCM of 948, 700, 729, 525, 576?
Answer: LCM of 948, 700, 729, 525, 576 is 645019200.
2. How to calculate the LCM of 948, 700, 729, 525, 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, 700, 729, 525, 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}.