Find the LCM of 994, 276, 805, 104, 664 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, 276, 805, 104, 664. So, keep reading to learn more.
Given numbers are 994,276,805,104,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,276,805,104,664 is 1480085880.
Find LCM of 994,276,805,104,664 with Prime Factorization
2 | 994, 276, 805, 104, 664 |
2 | 497, 138, 805, 52, 332 |
2 | 497, 69, 805, 26, 166 |
7 | 497, 69, 805, 13, 83 |
23 | 71, 69, 115, 13, 83 |
71, 3, 5, 13, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 23 x 71 x 3 x 5 x 13 x 83 = 1480085880
Therefore, the lowest common multiple of 994,276,805,104,664 is 1480085880.
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 276 x 805 x 104 x 664 = 15250804907520
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
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
805 : 1, 5, 7, 23, 35, 115, 161, 805
104 : 1, 2, 4, 8, 13, 26, 52, 104
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,276,805,104,664, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
276:2x 2x 3x 23
805:5x 7x 23
104:2x 2x 2x 13
664:2x 2x 2x 83
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 2x 2x 2x 7x 23 = 10304
Therefore, the value for common factors is 10304.
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 = 15250804907520/(1x10304)
LCM = 15250804907520/10304
LCM = 1480085880
Thus, we can understand that the LCM of 994,276,805,104,664 is 1480085880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 994, 276, 805, 104, 664?
Answer: LCM of 994, 276, 805, 104, 664 is 1480085880.
2. How to calculate the LCM of 994, 276, 805, 104, 664?
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, 276, 805, 104, 664.
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}.