LCM of 322, 308, 741, 908, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 308, 741, 908, 893 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 322, 308, 741, 908, 893. So, keep reading to learn more.
Given numbers are 322,308,741,908,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,308,741,908,893 is 56004184236.
Find LCM of 322,308,741,908,893 with Prime Factorization
| 2 | 322, 308, 741, 908, 893 |
| 2 | 161, 154, 741, 454, 893 |
| 7 | 161, 77, 741, 227, 893 |
| 19 | 23, 11, 741, 227, 893 |
| 23, 11, 39, 227, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 23 x 11 x 39 x 227 x 47 = 56004184236
Therefore, the lowest common multiple of 322,308,741,908,893 is 56004184236.
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.
322 x 308 x 741 x 908 x 893 = 59588452027104
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
741 : 1, 3, 13, 19, 39, 57, 247, 741
908 : 1, 2, 4, 227, 454, 908
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,308,741,908,893, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
308:2x 2x 7x 11
741:3x 13x 19
908:2x 2x 227
893:19x 47
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 7x 19 = 1064
Therefore, the value for common factors is 1064.
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 = 59588452027104/(1x1064)
LCM = 59588452027104/1064
LCM = 56004184236
Thus, we can understand that the LCM of 322,308,741,908,893 is 56004184236.
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FAQs on LCM of 322, 308, 741, 908, 893
1. What is the LCM of 322, 308, 741, 908, 893?
Answer: LCM of 322, 308, 741, 908, 893 is 56004184236.
2. How to calculate the LCM of 322, 308, 741, 908, 893?
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 322, 308, 741, 908, 893.
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}.