Find the LCM of 336, 430, 914, 846, 846 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 336, 430, 914, 846, 846. So, keep reading to learn more.
Given numbers are 336,430,914,846,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,430,914,846,846 is 4654928880.
Find LCM of 336,430,914,846,846 with Prime Factorization
2 | 336, 430, 914, 846, 846 |
3 | 168, 215, 457, 423, 423 |
3 | 56, 215, 457, 141, 141 |
47 | 56, 215, 457, 47, 47 |
56, 215, 457, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 47 x 56 x 215 x 457 x 1 x 1 = 4654928880
Therefore, the lowest common multiple of 336,430,914,846,846 is 4654928880.
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.
336 x 430 x 914 x 846 x 846 = 94513675979520
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
430 : 1, 2, 5, 10, 43, 86, 215, 430
914 : 1, 2, 457, 914
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,430,914,846,846, is 2.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
430:2x 5x 43
914:2x 457
846:2x 3x 3x 47
846:2x 3x 3x 47
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 3x 3x 3x 47 = 10152
Therefore, the value for common factors is 10152.
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 = 94513675979520/(2x10152)
LCM = 94513675979520/20304
LCM = 4654928880
Thus, we can understand that the LCM of 336,430,914,846,846 is 4654928880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 336, 430, 914, 846, 846?
Answer: LCM of 336, 430, 914, 846, 846 is 4654928880.
2. How to calculate the LCM of 336, 430, 914, 846, 846?
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 336, 430, 914, 846, 846.
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}.