Find the LCM of 846, 464, 801, 390, 319 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 846, 464, 801, 390, 319. So, keep reading to learn more.
Given numbers are 846,464,801,390,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,464,801,390,319 is 12489768720.
Find LCM of 846,464,801,390,319 with Prime Factorization
2 | 846, 464, 801, 390, 319 |
3 | 423, 232, 801, 195, 319 |
3 | 141, 232, 267, 65, 319 |
29 | 47, 232, 89, 65, 319 |
47, 8, 89, 65, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 29 x 47 x 8 x 89 x 65 x 11 = 12489768720
Therefore, the lowest common multiple of 846,464,801,390,319 is 12489768720.
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.
846 x 464 x 801 x 390 x 319 = 39117955631040
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
801 : 1, 3, 9, 89, 267, 801
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,464,801,390,319, is 1.
Now, the common factors can be found like this.
846:2x 3x 3x 47
464:2x 2x 2x 2x 29
801:3x 3x 89
390:2x 3x 5x 13
319:11x 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 2x 3x 3x 3x 29 = 3132
Therefore, the value for common factors is 3132.
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 = 39117955631040/(1x3132)
LCM = 39117955631040/3132
LCM = 12489768720
Thus, we can understand that the LCM of 846,464,801,390,319 is 12489768720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 846, 464, 801, 390, 319?
Answer: LCM of 846, 464, 801, 390, 319 is 12489768720.
2. How to calculate the LCM of 846, 464, 801, 390, 319?
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 846, 464, 801, 390, 319.
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}.