Find the LCM of 924, 502, 994, 598 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, 502, 994, 598. So, keep reading to learn more.
Given numbers are 924,502,994,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,502,994,598 is 4923514596.
Find LCM of 924,502,994,598 with Prime Factorization
2 | 924, 502, 994, 598 |
7 | 462, 251, 497, 299 |
66, 251, 71, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 66 x 251 x 71 x 299 = 4923514596
Therefore, the lowest common multiple of 924,502,994,598 is 4923514596.
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 502 x 994 x 598 = 275716817376
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
502 : 1, 2, 251, 502
994 : 1, 2, 7, 14, 71, 142, 497, 994
598 : 1, 2, 13, 23, 26, 46, 299, 598
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,502,994,598, is 2.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
502:2x 251
994:2x 7x 71
598:2x 13x 23
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 7 = 28
Therefore, the value for common factors is 28.
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 = 275716817376/(2x28)
LCM = 275716817376/56
LCM = 4923514596
Thus, we can understand that the LCM of 924,502,994,598 is 4923514596.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 924, 502, 994, 598?
Answer: LCM of 924, 502, 994, 598 is 4923514596.
2. How to calculate the LCM of 924, 502, 994, 598?
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, 502, 994, 598.
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}.