LCM of 858, 969, 371, 814, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 969, 371, 814, 777 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 858, 969, 371, 814, 777. So, keep reading to learn more.
Given numbers are 858,969,371,814,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,969,371,814,777 is 3804218418.
Find LCM of 858,969,371,814,777 with Prime Factorization
| 2 | 858, 969, 371, 814, 777 |
| 3 | 429, 969, 371, 407, 777 |
| 7 | 143, 323, 371, 407, 259 |
| 11 | 143, 323, 53, 407, 37 |
| 37 | 13, 323, 53, 37, 37 |
| 13, 323, 53, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 37 x 13 x 323 x 53 x 1 x 1 = 3804218418
Therefore, the lowest common multiple of 858,969,371,814,777 is 3804218418.
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.
858 x 969 x 371 x 814 x 777 = 195087928911876
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
969 : 1, 3, 17, 19, 51, 57, 323, 969
371 : 1, 7, 53, 371
814 : 1, 2, 11, 22, 37, 74, 407, 814
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,969,371,814,777, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
969:3x 17x 19
371:7x 53
814:2x 11x 37
777:3x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 11x 37 = 51282
Therefore, the value for common factors is 51282.
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 = 195087928911876/(1x51282)
LCM = 195087928911876/51282
LCM = 3804218418
Thus, we can understand that the LCM of 858,969,371,814,777 is 3804218418.
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FAQs on LCM of 858, 969, 371, 814, 777
1. What is the LCM of 858, 969, 371, 814, 777?
Answer: LCM of 858, 969, 371, 814, 777 is 3804218418.
2. How to calculate the LCM of 858, 969, 371, 814, 777?
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 858, 969, 371, 814, 777.
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}.