LCM of 897, 420, 100, 308, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 420, 100, 308, 944 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 897, 420, 100, 308, 944. So, keep reading to learn more.
Given numbers are 897,420,100,308,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,420,100,308,944 is 1630028400.
Find LCM of 897,420,100,308,944 with Prime Factorization
| 2 | 897, 420, 100, 308, 944 |
| 2 | 897, 210, 50, 154, 472 |
| 3 | 897, 105, 25, 77, 236 |
| 5 | 299, 35, 25, 77, 236 |
| 7 | 299, 7, 5, 77, 236 |
| 299, 1, 5, 11, 236 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 299 x 1 x 5 x 11 x 236 = 1630028400
Therefore, the lowest common multiple of 897,420,100,308,944 is 1630028400.
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.
897 x 420 x 100 x 308 x 944 = 10953790848000
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,420,100,308,944, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
420:2x 2x 3x 5x 7
100:2x 2x 5x 5
308:2x 2x 7x 11
944:2x 2x 2x 2x 59
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 5x 7 = 6720
Therefore, the value for common factors is 6720.
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 = 10953790848000/(1x6720)
LCM = 10953790848000/6720
LCM = 1630028400
Thus, we can understand that the LCM of 897,420,100,308,944 is 1630028400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 897, 420, 100, 308, 944
1. What is the LCM of 897, 420, 100, 308, 944?
Answer: LCM of 897, 420, 100, 308, 944 is 1630028400.
2. How to calculate the LCM of 897, 420, 100, 308, 944?
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 897, 420, 100, 308, 944.
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}.