LCM of 998, 415, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 415, 870 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 998, 415, 870. So, keep reading to learn more.
Given numbers are 998,415,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,415,870 is 36032790.
Find LCM of 998,415,870 with Prime Factorization
| 2 | 998, 415, 870 |
| 5 | 499, 415, 435 |
| 499, 83, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 499 x 83 x 87 = 36032790
Therefore, the lowest common multiple of 998,415,870 is 36032790.
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.
998 x 415 x 870 = 360327900
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.
998 : 1, 2, 499, 998
415 : 1, 5, 83, 415
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,415,870, is 1.
Now, the common factors can be found like this.
998:2x 499
415:5x 83
870:2x 3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 360327900/(1x10)
LCM = 360327900/10
LCM = 36032790
Thus, we can understand that the LCM of 998,415,870 is 36032790.
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FAQs on LCM of 998, 415, 870
1. What is the LCM of 998, 415, 870?
Answer: LCM of 998, 415, 870 is 36032790.
2. How to calculate the LCM of 998, 415, 870?
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 998, 415, 870.
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}.