Find the LCM of 501, 905, 930, 924, 744 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 501, 905, 930, 924, 744. So, keep reading to learn more.
Given numbers are 501,905,930,924,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,905,930,924,744 is 8658221880.
Find LCM of 501,905,930,924,744 with Prime Factorization
2 | 501, 905, 930, 924, 744 |
2 | 501, 905, 465, 462, 372 |
3 | 501, 905, 465, 231, 186 |
5 | 167, 905, 155, 77, 62 |
31 | 167, 181, 31, 77, 62 |
167, 181, 1, 77, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 167 x 181 x 1 x 77 x 2 = 8658221880
Therefore, the lowest common multiple of 501,905,930,924,744 is 8658221880.
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.
501 x 905 x 930 x 924 x 744 = 289877268542400
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.
501 : 1, 3, 167, 501
905 : 1, 5, 181, 905
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
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
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,905,930,924,744, is 1.
Now, the common factors can be found like this.
501:3x 167
905:5x 181
930:2x 3x 5x 31
924:2x 2x 3x 7x 11
744:2x 2x 2x 3x 31
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 5x 31 = 33480
Therefore, the value for common factors is 33480.
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 = 289877268542400/(1x33480)
LCM = 289877268542400/33480
LCM = 8658221880
Thus, we can understand that the LCM of 501,905,930,924,744 is 8658221880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 501, 905, 930, 924, 744?
Answer: LCM of 501, 905, 930, 924, 744 is 8658221880.
2. How to calculate the LCM of 501, 905, 930, 924, 744?
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 501, 905, 930, 924, 744.
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}.