LCM of 798, 570, 969, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 798, 570, 969, 714 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 798, 570, 969, 714. So, keep reading to learn more.
Given numbers are 798,570,969,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,570,969,714 is 67830.
Find LCM of 798,570,969,714 with Prime Factorization
| 2 | 798, 570, 969, 714 |
| 3 | 399, 285, 969, 357 |
| 7 | 133, 95, 323, 119 |
| 17 | 19, 95, 323, 17 |
| 19 | 19, 95, 19, 1 |
| 1, 5, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 19 x 1 x 5 x 1 x 1 = 67830
Therefore, the lowest common multiple of 798,570,969,714 is 67830.
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.
798 x 570 x 969 x 714 = 314702168760
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
969 : 1, 3, 17, 19, 51, 57, 323, 969
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,570,969,714, is 3.
Now, the common factors can be found like this.
798:2x 3x 7x 19
570:2x 3x 5x 19
969:3x 17x 19
714:2x 3x 7x 17
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 3x 7x 17x 19x 19 = 1546524
Therefore, the value for common factors is 1546524.
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 = 314702168760/(3x1546524)
LCM = 314702168760/4639572
LCM = 67830
Thus, we can understand that the LCM of 798,570,969,714 is 67830.
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FAQs on LCM of 798, 570, 969, 714
1. What is the LCM of 798, 570, 969, 714?
Answer: LCM of 798, 570, 969, 714 is 67830.
2. How to calculate the LCM of 798, 570, 969, 714?
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 798, 570, 969, 714.
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}.