LCM of 898, 766, 954, 732, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 766, 954, 732, 450 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 898, 766, 954, 732, 450. So, keep reading to learn more.
Given numbers are 898,766,954,732,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,766,954,732,450 is 500372379900.
Find LCM of 898,766,954,732,450 with Prime Factorization
| 2 | 898, 766, 954, 732, 450 |
| 3 | 449, 383, 477, 366, 225 |
| 3 | 449, 383, 159, 122, 75 |
| 449, 383, 53, 122, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 449 x 383 x 53 x 122 x 25 = 500372379900
Therefore, the lowest common multiple of 898,766,954,732,450 is 500372379900.
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.
898 x 766 x 954 x 732 x 450 = 216160868116800
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.
898 : 1, 2, 449, 898
766 : 1, 2, 383, 766
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,766,954,732,450, is 2.
Now, the common factors can be found like this.
898:2x 449
766:2x 383
954:2x 3x 3x 53
732:2x 2x 3x 61
450:2x 3x 3x 5x 5
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 216160868116800/(2x216)
LCM = 216160868116800/432
LCM = 500372379900
Thus, we can understand that the LCM of 898,766,954,732,450 is 500372379900.
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FAQs on LCM of 898, 766, 954, 732, 450
1. What is the LCM of 898, 766, 954, 732, 450?
Answer: LCM of 898, 766, 954, 732, 450 is 500372379900.
2. How to calculate the LCM of 898, 766, 954, 732, 450?
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 898, 766, 954, 732, 450.
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}.