LCM of 400, 591, 892, 970, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 591, 892, 970, 308 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 400, 591, 892, 970, 308. So, keep reading to learn more.
Given numbers are 400,591,892,970,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,591,892,970,308 is 393744766800.
Find LCM of 400,591,892,970,308 with Prime Factorization
| 2 | 400, 591, 892, 970, 308 |
| 2 | 200, 591, 446, 485, 154 |
| 5 | 100, 591, 223, 485, 77 |
| 20, 591, 223, 97, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 20 x 591 x 223 x 97 x 77 = 393744766800
Therefore, the lowest common multiple of 400,591,892,970,308 is 393744766800.
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.
400 x 591 x 892 x 970 x 308 = 62999162688000
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
591 : 1, 3, 197, 591
892 : 1, 2, 4, 223, 446, 892
970 : 1, 2, 5, 10, 97, 194, 485, 970
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,591,892,970,308, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
591:3x 197
892:2x 2x 223
970:2x 5x 97
308:2x 2x 7x 11
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 5 = 160
Therefore, the value for common factors is 160.
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 = 62999162688000/(1x160)
LCM = 62999162688000/160
LCM = 393744766800
Thus, we can understand that the LCM of 400,591,892,970,308 is 393744766800.
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FAQs on LCM of 400, 591, 892, 970, 308
1. What is the LCM of 400, 591, 892, 970, 308?
Answer: LCM of 400, 591, 892, 970, 308 is 393744766800.
2. How to calculate the LCM of 400, 591, 892, 970, 308?
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 400, 591, 892, 970, 308.
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}.