LCM of 812, 478, 808, 793, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 478, 808, 793, 868 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 812, 478, 808, 793, 868. So, keep reading to learn more.
Given numbers are 812,478,808,793,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,478,808,793,868 is 963696276088.
Find LCM of 812,478,808,793,868 with Prime Factorization
| 2 | 812, 478, 808, 793, 868 |
| 2 | 406, 239, 404, 793, 434 |
| 7 | 203, 239, 202, 793, 217 |
| 29, 239, 202, 793, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 29 x 239 x 202 x 793 x 31 = 963696276088
Therefore, the lowest common multiple of 812,478,808,793,868 is 963696276088.
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.
812 x 478 x 808 x 793 x 868 = 215867965843712
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
478 : 1, 2, 239, 478
808 : 1, 2, 4, 8, 101, 202, 404, 808
793 : 1, 13, 61, 793
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,478,808,793,868, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
478:2x 239
808:2x 2x 2x 101
793:13x 61
868:2x 2x 7x 31
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 7 = 224
Therefore, the value for common factors is 224.
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 = 215867965843712/(1x224)
LCM = 215867965843712/224
LCM = 963696276088
Thus, we can understand that the LCM of 812,478,808,793,868 is 963696276088.
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FAQs on LCM of 812, 478, 808, 793, 868
1. What is the LCM of 812, 478, 808, 793, 868?
Answer: LCM of 812, 478, 808, 793, 868 is 963696276088.
2. How to calculate the LCM of 812, 478, 808, 793, 868?
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 812, 478, 808, 793, 868.
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}.