Find the LCM of 502, 627, 838, 399, 124 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 502, 627, 838, 399, 124. So, keep reading to learn more.
Given numbers are 502,627,838,399,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 502,627,838,399,124 is 57236755884.
Find LCM of 502,627,838,399,124 with Prime Factorization
2 | 502, 627, 838, 399, 124 |
3 | 251, 627, 419, 399, 62 |
19 | 251, 209, 419, 133, 62 |
251, 11, 419, 7, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 251 x 11 x 419 x 7 x 62 = 57236755884
Therefore, the lowest common multiple of 502,627,838,399,124 is 57236755884.
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.
502 x 627 x 838 x 399 x 124 = 13049980341552
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.
502 : 1, 2, 251, 502
627 : 1, 3, 11, 19, 33, 57, 209, 627
838 : 1, 2, 419, 838
399 : 1, 3, 7, 19, 21, 57, 133, 399
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,627,838,399,124, is 1.
Now, the common factors can be found like this.
502:2x 251
627:3x 11x 19
838:2x 419
399:3x 7x 19
124:2x 2x 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 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 13049980341552/(1x228)
LCM = 13049980341552/228
LCM = 57236755884
Thus, we can understand that the LCM of 502,627,838,399,124 is 57236755884.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 502, 627, 838, 399, 124?
Answer: LCM of 502, 627, 838, 399, 124 is 57236755884.
2. How to calculate the LCM of 502, 627, 838, 399, 124?
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 502, 627, 838, 399, 124.
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}.