LCM of 319, 648, 840, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 648, 840, 989 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 319, 648, 840, 989. So, keep reading to learn more.
Given numbers are 319,648,840,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,648,840,989 is 7155335880.
Find LCM of 319,648,840,989 with Prime Factorization
| 2 | 319, 648, 840, 989 |
| 2 | 319, 324, 420, 989 |
| 2 | 319, 162, 210, 989 |
| 3 | 319, 81, 105, 989 |
| 319, 27, 35, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 319 x 27 x 35 x 989 = 7155335880
Therefore, the lowest common multiple of 319,648,840,989 is 7155335880.
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.
319 x 648 x 840 x 989 = 171728061120
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.
319 : 1, 11, 29, 319
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,648,840,989, is 1.
Now, the common factors can be found like this.
319:11x 29
648:2x 2x 2x 3x 3x 3x 3
840:2x 2x 2x 3x 5x 7
989:23x 43
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 171728061120/(1x24)
LCM = 171728061120/24
LCM = 7155335880
Thus, we can understand that the LCM of 319,648,840,989 is 7155335880.
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FAQs on LCM of 319, 648, 840, 989
1. What is the LCM of 319, 648, 840, 989?
Answer: LCM of 319, 648, 840, 989 is 7155335880.
2. How to calculate the LCM of 319, 648, 840, 989?
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 319, 648, 840, 989.
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}.