Find the LCM of 924, 446, 133, 850, 973 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, 446, 133, 850, 973. So, keep reading to learn more.
Given numbers are 924,446,133,850,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,446,133,850,973 is 231277916100.
Find LCM of 924,446,133,850,973 with Prime Factorization
2 | 924, 446, 133, 850, 973 |
7 | 462, 223, 133, 425, 973 |
66, 223, 19, 425, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 66 x 223 x 19 x 425 x 139 = 231277916100
Therefore, the lowest common multiple of 924,446,133,850,973 is 231277916100.
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 446 x 133 x 850 x 973 = 45330471555600
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
446 : 1, 2, 223, 446
133 : 1, 7, 19, 133
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,446,133,850,973, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
446:2x 223
133:7x 19
850:2x 5x 5x 17
973:7x 139
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 45330471555600/(1x196)
LCM = 45330471555600/196
LCM = 231277916100
Thus, we can understand that the LCM of 924,446,133,850,973 is 231277916100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 924, 446, 133, 850, 973?
Answer: LCM of 924, 446, 133, 850, 973 is 231277916100.
2. How to calculate the LCM of 924, 446, 133, 850, 973?
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, 446, 133, 850, 973.
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}.