LCM of 242, 972, 286, 939, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 972, 286, 939, 416 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, 972, 286, 939, 416. So, keep reading to learn more.
Given numbers are 242,972,286,939,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,972,286,939,416 is 3828505824.
Find LCM of 242,972,286,939,416 with Prime Factorization
| 2 | 242, 972, 286, 939, 416 |
| 2 | 121, 486, 143, 939, 208 |
| 3 | 121, 243, 143, 939, 104 |
| 11 | 121, 81, 143, 313, 104 |
| 13 | 11, 81, 13, 313, 104 |
| 11, 81, 1, 313, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 11 x 81 x 1 x 313 x 8 = 3828505824
Therefore, the lowest common multiple of 242,972,286,939,416 is 3828505824.
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 972 x 286 x 939 x 416 = 26278863975936
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
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
286 : 1, 2, 11, 13, 22, 26, 143, 286
939 : 1, 3, 313, 939
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,972,286,939,416, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
972:2x 2x 3x 3x 3x 3x 3
286:2x 11x 13
939:3x 313
416:2x 2x 2x 2x 2x 13
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 3x 11x 13 = 6864
Therefore, the value for common factors is 6864.
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 = 26278863975936/(1x6864)
LCM = 26278863975936/6864
LCM = 3828505824
Thus, we can understand that the LCM of 242,972,286,939,416 is 3828505824.
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FAQs on LCM of 242, 972, 286, 939, 416
1. What is the LCM of 242, 972, 286, 939, 416?
Answer: LCM of 242, 972, 286, 939, 416 is 3828505824.
2. How to calculate the LCM of 242, 972, 286, 939, 416?
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, 972, 286, 939, 416.
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}.