Find the LCM of 242, 906, 669, 288, 432 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 242, 906, 669, 288, 432. So, keep reading to learn more.
Given numbers are 242,906,669,288,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,906,669,288,432 is 3520310112.
Find LCM of 242,906,669,288,432 with Prime Factorization
2 | 242, 906, 669, 288, 432 |
2 | 121, 453, 669, 144, 216 |
2 | 121, 453, 669, 72, 108 |
2 | 121, 453, 669, 36, 54 |
3 | 121, 453, 669, 18, 27 |
3 | 121, 151, 223, 6, 9 |
121, 151, 223, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 121 x 151 x 223 x 2 x 3 = 3520310112
Therefore, the lowest common multiple of 242,906,669,288,432 is 3520310112.
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.
242 x 906 x 669 x 288 x 432 = 18249287620608
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.
242 : 1, 2, 11, 22, 121, 242
906 : 1, 2, 3, 6, 151, 302, 453, 906
669 : 1, 3, 223, 669
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,906,669,288,432, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
906:2x 3x 151
669:3x 223
288:2x 2x 2x 2x 2x 3x 3
432:2x 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 2x 2x 2x 3x 3x 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 18249287620608/(1x5184)
LCM = 18249287620608/5184
LCM = 3520310112
Thus, we can understand that the LCM of 242,906,669,288,432 is 3520310112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 242, 906, 669, 288, 432?
Answer: LCM of 242, 906, 669, 288, 432 is 3520310112.
2. How to calculate the LCM of 242, 906, 669, 288, 432?
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 242, 906, 669, 288, 432.
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}.