Find the LCM of 994, 138, 511, 780, 890 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 994, 138, 511, 780, 890. So, keep reading to learn more.
Given numbers are 994,138,511,780,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,138,511,780,890 is 57928421460.
Find LCM of 994,138,511,780,890 with Prime Factorization
2 | 994, 138, 511, 780, 890 |
3 | 497, 69, 511, 390, 445 |
5 | 497, 23, 511, 130, 445 |
7 | 497, 23, 511, 26, 89 |
71, 23, 73, 26, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 71 x 23 x 73 x 26 x 89 = 57928421460
Therefore, the lowest common multiple of 994,138,511,780,890 is 57928421460.
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.
994 x 138 x 511 x 780 x 890 = 48659874026400
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.
994 : 1, 2, 7, 14, 71, 142, 497, 994
138 : 1, 2, 3, 6, 23, 46, 69, 138
511 : 1, 7, 73, 511
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,138,511,780,890, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
138:2x 3x 23
511:7x 73
780:2x 2x 3x 5x 13
890:2x 5x 89
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 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 48659874026400/(1x840)
LCM = 48659874026400/840
LCM = 57928421460
Thus, we can understand that the LCM of 994,138,511,780,890 is 57928421460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 994, 138, 511, 780, 890?
Answer: LCM of 994, 138, 511, 780, 890 is 57928421460.
2. How to calculate the LCM of 994, 138, 511, 780, 890?
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 994, 138, 511, 780, 890.
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}.