LCM of 598, 769, 949, 720, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 769, 949, 720, 285 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 598, 769, 949, 720, 285. So, keep reading to learn more.
Given numbers are 598,769,949,720,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,769,949,720,285 is 229618293840.
Find LCM of 598,769,949,720,285 with Prime Factorization
| 2 | 598, 769, 949, 720, 285 |
| 3 | 299, 769, 949, 360, 285 |
| 5 | 299, 769, 949, 120, 95 |
| 13 | 299, 769, 949, 24, 19 |
| 23, 769, 73, 24, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 23 x 769 x 73 x 24 x 19 = 229618293840
Therefore, the lowest common multiple of 598,769,949,720,285 is 229618293840.
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.
598 x 769 x 949 x 720 x 285 = 89551134597600
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
769 : 1, 769
949 : 1, 13, 73, 949
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,769,949,720,285, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
769:769
949:13x 73
720:2x 2x 2x 2x 3x 3x 5
285:3x 5x 19
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 5x 13 = 390
Therefore, the value for common factors is 390.
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 = 89551134597600/(1x390)
LCM = 89551134597600/390
LCM = 229618293840
Thus, we can understand that the LCM of 598,769,949,720,285 is 229618293840.
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FAQs on LCM of 598, 769, 949, 720, 285
1. What is the LCM of 598, 769, 949, 720, 285?
Answer: LCM of 598, 769, 949, 720, 285 is 229618293840.
2. How to calculate the LCM of 598, 769, 949, 720, 285?
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 598, 769, 949, 720, 285.
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}.