LCM of 932, 592, 576, 792, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 592, 576, 792, 869 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 932, 592, 576, 792, 869. So, keep reading to learn more.
Given numbers are 932,592,576,792,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,592,576,792,869 is 4315189824.
Find LCM of 932,592,576,792,869 with Prime Factorization
| 2 | 932, 592, 576, 792, 869 |
| 2 | 466, 296, 288, 396, 869 |
| 2 | 233, 148, 144, 198, 869 |
| 2 | 233, 74, 72, 99, 869 |
| 3 | 233, 37, 36, 99, 869 |
| 3 | 233, 37, 12, 33, 869 |
| 11 | 233, 37, 4, 11, 869 |
| 233, 37, 4, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 11 x 233 x 37 x 4 x 1 x 79 = 4315189824
Therefore, the lowest common multiple of 932,592,576,792,869 is 4315189824.
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.
932 x 592 x 576 x 792 x 869 = 218728341798912
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.
932 : 1, 2, 4, 233, 466, 932
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,592,576,792,869, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
592:2x 2x 2x 2x 37
576:2x 2x 2x 2x 2x 2x 3x 3
792:2x 2x 2x 3x 3x 11
869:11x 79
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 2x 2x 2x 2x 2x 3x 3x 11 = 50688
Therefore, the value for common factors is 50688.
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 = 218728341798912/(1x50688)
LCM = 218728341798912/50688
LCM = 4315189824
Thus, we can understand that the LCM of 932,592,576,792,869 is 4315189824.
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FAQs on LCM of 932, 592, 576, 792, 869
1. What is the LCM of 932, 592, 576, 792, 869?
Answer: LCM of 932, 592, 576, 792, 869 is 4315189824.
2. How to calculate the LCM of 932, 592, 576, 792, 869?
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 932, 592, 576, 792, 869.
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}.