LCM of 793, 624, 872, 847, 859
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 624, 872, 847, 859 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 793, 624, 872, 847, 859. So, keep reading to learn more.
Given numbers are 793,624,872,847,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,624,872,847,859 is 3018682915248.
Find LCM of 793,624,872,847,859 with Prime Factorization
| 2 | 793, 624, 872, 847, 859 |
| 2 | 793, 312, 436, 847, 859 |
| 2 | 793, 156, 218, 847, 859 |
| 13 | 793, 78, 109, 847, 859 |
| 61, 6, 109, 847, 859 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 61 x 6 x 109 x 847 x 859 = 3018682915248
Therefore, the lowest common multiple of 793,624,872,847,859 is 3018682915248.
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.
793 x 624 x 872 x 847 x 859 = 313943023185792
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.
793 : 1, 13, 61, 793
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
872 : 1, 2, 4, 8, 109, 218, 436, 872
847 : 1, 7, 11, 77, 121, 847
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,624,872,847,859, is 1.
Now, the common factors can be found like this.
793:13x 61
624:2x 2x 2x 2x 3x 13
872:2x 2x 2x 109
847:7x 11x 11
859:859
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 13 = 104
Therefore, the value for common factors is 104.
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 = 313943023185792/(1x104)
LCM = 313943023185792/104
LCM = 3018682915248
Thus, we can understand that the LCM of 793,624,872,847,859 is 3018682915248.
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FAQs on LCM of 793, 624, 872, 847, 859
1. What is the LCM of 793, 624, 872, 847, 859?
Answer: LCM of 793, 624, 872, 847, 859 is 3018682915248.
2. How to calculate the LCM of 793, 624, 872, 847, 859?
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 793, 624, 872, 847, 859.
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}.