Find the LCM of 924, 840, 412, 108, 964 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 924, 840, 412, 108, 964. So, keep reading to learn more.
Given numbers are 924,840,412,108,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,840,412,108,964 is 2064280680.
Find LCM of 924,840,412,108,964 with Prime Factorization
2 | 924, 840, 412, 108, 964 |
2 | 462, 420, 206, 54, 482 |
3 | 231, 210, 103, 27, 241 |
7 | 77, 70, 103, 9, 241 |
11, 10, 103, 9, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 10 x 103 x 9 x 241 = 2064280680
Therefore, the lowest common multiple of 924,840,412,108,964 is 2064280680.
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.
924 x 840 x 412 x 108 x 964 = 33292718807040
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
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
412 : 1, 2, 4, 103, 206, 412
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
964 : 1, 2, 4, 241, 482, 964
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,840,412,108,964, is 4.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
840:2x 2x 2x 3x 5x 7
412:2x 2x 103
108:2x 2x 3x 3x 3
964:2x 2x 241
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 3x 3x 7 = 4032
Therefore, the value for common factors is 4032.
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 = 33292718807040/(4x4032)
LCM = 33292718807040/16128
LCM = 2064280680
Thus, we can understand that the LCM of 924,840,412,108,964 is 2064280680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 924, 840, 412, 108, 964?
Answer: LCM of 924, 840, 412, 108, 964 is 2064280680.
2. How to calculate the LCM of 924, 840, 412, 108, 964?
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 924, 840, 412, 108, 964.
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}.