LCM of 898, 616, 480, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 616, 480, 946 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, 616, 480, 946. So, keep reading to learn more.
Given numbers are 898,616,480,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,616,480,946 is 713586720.
Find LCM of 898,616,480,946 with Prime Factorization
| 2 | 898, 616, 480, 946 |
| 2 | 449, 308, 240, 473 |
| 2 | 449, 154, 120, 473 |
| 11 | 449, 77, 60, 473 |
| 449, 7, 60, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 449 x 7 x 60 x 43 = 713586720
Therefore, the lowest common multiple of 898,616,480,946 is 713586720.
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 616 x 480 x 946 = 251182525440
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
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
946 : 1, 2, 11, 22, 43, 86, 473, 946
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,616,480,946, is 2.
Now, the common factors can be found like this.
898:2x 449
616:2x 2x 2x 7x 11
480:2x 2x 2x 2x 2x 3x 5
946:2x 11x 43
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 11 = 176
Therefore, the value for common factors is 176.
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 = 251182525440/(2x176)
LCM = 251182525440/352
LCM = 713586720
Thus, we can understand that the LCM of 898,616,480,946 is 713586720.
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FAQs on LCM of 898, 616, 480, 946
1. What is the LCM of 898, 616, 480, 946?
Answer: LCM of 898, 616, 480, 946 is 713586720.
2. How to calculate the LCM of 898, 616, 480, 946?
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, 616, 480, 946.
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}.