Find the LCM of 248, 559, 497, 221, 102 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 248, 559, 497, 221, 102. So, keep reading to learn more.
Given numbers are 248,559,497,221,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,559,497,221,102 is 3513905304.
Find LCM of 248,559,497,221,102 with Prime Factorization
2 | 248, 559, 497, 221, 102 |
13 | 124, 559, 497, 221, 51 |
17 | 124, 43, 497, 17, 51 |
124, 43, 497, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 124 x 43 x 497 x 1 x 3 = 3513905304
Therefore, the lowest common multiple of 248,559,497,221,102 is 3513905304.
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.
248 x 559 x 497 x 221 x 102 = 1553146144368
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
559 : 1, 13, 43, 559
497 : 1, 7, 71, 497
221 : 1, 13, 17, 221
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,559,497,221,102, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
559:13x 43
497:7x 71
221:13x 17
102:2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 1553146144368/(1x442)
LCM = 1553146144368/442
LCM = 3513905304
Thus, we can understand that the LCM of 248,559,497,221,102 is 3513905304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 248, 559, 497, 221, 102?
Answer: LCM of 248, 559, 497, 221, 102 is 3513905304.
2. How to calculate the LCM of 248, 559, 497, 221, 102?
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 248, 559, 497, 221, 102.
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}.