Find the LCM of 249, 129, 559, 744, 864 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 249, 129, 559, 744, 864. So, keep reading to learn more.
Given numbers are 249,129,559,744,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,129,559,744,864 is 1242697248.
Find LCM of 249,129,559,744,864 with Prime Factorization
2 | 249, 129, 559, 744, 864 |
2 | 249, 129, 559, 372, 432 |
2 | 249, 129, 559, 186, 216 |
3 | 249, 129, 559, 93, 108 |
43 | 83, 43, 559, 31, 36 |
83, 1, 13, 31, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 43 x 83 x 1 x 13 x 31 x 36 = 1242697248
Therefore, the lowest common multiple of 249,129,559,744,864 is 1242697248.
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.
249 x 129 x 559 x 744 x 864 = 11542172039424
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.
249 : 1, 3, 83, 249
129 : 1, 3, 43, 129
559 : 1, 13, 43, 559
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,129,559,744,864, is 1.
Now, the common factors can be found like this.
249:3x 83
129:3x 43
559:13x 43
744:2x 2x 2x 3x 31
864:2x 2x 2x 2x 2x 3x 3x 3
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 43 = 9288
Therefore, the value for common factors is 9288.
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 = 11542172039424/(1x9288)
LCM = 11542172039424/9288
LCM = 1242697248
Thus, we can understand that the LCM of 249,129,559,744,864 is 1242697248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 249, 129, 559, 744, 864?
Answer: LCM of 249, 129, 559, 744, 864 is 1242697248.
2. How to calculate the LCM of 249, 129, 559, 744, 864?
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 249, 129, 559, 744, 864.
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}.