LCM of 814, 649, 522, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 649, 522, 930 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 814, 649, 522, 930. So, keep reading to learn more.
Given numbers are 814,649,522,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,649,522,930 is 1942891830.
Find LCM of 814,649,522,930 with Prime Factorization
| 2 | 814, 649, 522, 930 |
| 3 | 407, 649, 261, 465 |
| 11 | 407, 649, 87, 155 |
| 37, 59, 87, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 59 x 87 x 155 = 1942891830
Therefore, the lowest common multiple of 814,649,522,930 is 1942891830.
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.
814 x 649 x 522 x 930 = 256461721560
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
649 : 1, 11, 59, 649
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,649,522,930, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
649:11x 59
522:2x 3x 3x 29
930:2x 3x 5x 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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 256461721560/(1x132)
LCM = 256461721560/132
LCM = 1942891830
Thus, we can understand that the LCM of 814,649,522,930 is 1942891830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 649, 522, 930
1. What is the LCM of 814, 649, 522, 930?
Answer: LCM of 814, 649, 522, 930 is 1942891830.
2. How to calculate the LCM of 814, 649, 522, 930?
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 814, 649, 522, 930.
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}.