LCM of 908, 772, 363, 972, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 908, 772, 363, 972, 168 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 908, 772, 363, 972, 168. So, keep reading to learn more.
Given numbers are 908,772,363,972,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 908,772,363,972,168 is 72137790648.
Find LCM of 908,772,363,972,168 with Prime Factorization
| 2 | 908, 772, 363, 972, 168 |
| 2 | 454, 386, 363, 486, 84 |
| 3 | 227, 193, 363, 243, 42 |
| 227, 193, 121, 81, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 227 x 193 x 121 x 81 x 14 = 72137790648
Therefore, the lowest common multiple of 908,772,363,972,168 is 72137790648.
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.
908 x 772 x 363 x 972 x 168 = 41551367413248
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.
908 : 1, 2, 4, 227, 454, 908
772 : 1, 2, 4, 193, 386, 772
363 : 1, 3, 11, 33, 121, 363
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,772,363,972,168, is 1.
Now, the common factors can be found like this.
908:2x 2x 227
772:2x 2x 193
363:3x 11x 11
972:2x 2x 3x 3x 3x 3x 3
168:2x 2x 2x 3x 7
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 3 = 576
Therefore, the value for common factors is 576.
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 = 41551367413248/(1x576)
LCM = 41551367413248/576
LCM = 72137790648
Thus, we can understand that the LCM of 908,772,363,972,168 is 72137790648.
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FAQs on LCM of 908, 772, 363, 972, 168
1. What is the LCM of 908, 772, 363, 972, 168?
Answer: LCM of 908, 772, 363, 972, 168 is 72137790648.
2. How to calculate the LCM of 908, 772, 363, 972, 168?
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 908, 772, 363, 972, 168.
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}.