Find the LCM of 598, 884, 923, 638, 101 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 598, 884, 923, 638, 101. So, keep reading to learn more.
Given numbers are 598,884,923,638,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,884,923,638,101 is 46510446268.
Find LCM of 598,884,923,638,101 with Prime Factorization
2 | 598, 884, 923, 638, 101 |
13 | 299, 442, 923, 319, 101 |
23, 34, 71, 319, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 34 x 71 x 319 x 101 = 46510446268
Therefore, the lowest common multiple of 598,884,923,638,101 is 46510446268.
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.
598 x 884 x 923 x 638 x 101 = 31441061677168
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
923 : 1, 13, 71, 923
638 : 1, 2, 11, 22, 29, 58, 319, 638
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,884,923,638,101, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
884:2x 2x 13x 17
923:13x 71
638:2x 11x 29
101:101
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 31441061677168/(1x676)
LCM = 31441061677168/676
LCM = 46510446268
Thus, we can understand that the LCM of 598,884,923,638,101 is 46510446268.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 884, 923, 638, 101?
Answer: LCM of 598, 884, 923, 638, 101 is 46510446268.
2. How to calculate the LCM of 598, 884, 923, 638, 101?
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 598, 884, 923, 638, 101.
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}.