LCM of 916, 363, 616, 288, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 363, 616, 288, 930 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 916, 363, 616, 288, 930. So, keep reading to learn more.
Given numbers are 916,363,616,288,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,363,616,288,930 is 8658508320.
Find LCM of 916,363,616,288,930 with Prime Factorization
| 2 | 916, 363, 616, 288, 930 |
| 2 | 458, 363, 308, 144, 465 |
| 2 | 229, 363, 154, 72, 465 |
| 3 | 229, 363, 77, 36, 465 |
| 11 | 229, 121, 77, 12, 155 |
| 229, 11, 7, 12, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 229 x 11 x 7 x 12 x 155 = 8658508320
Therefore, the lowest common multiple of 916,363,616,288,930 is 8658508320.
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.
916 x 363 x 616 x 288 x 930 = 54860308715520
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.
916 : 1, 2, 4, 229, 458, 916
363 : 1, 3, 11, 33, 121, 363
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,363,616,288,930, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
363:3x 11x 11
616:2x 2x 2x 7x 11
288:2x 2x 2x 2x 2x 3x 3
930:2x 3x 5x 31
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 3x 11 = 6336
Therefore, the value for common factors is 6336.
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 = 54860308715520/(1x6336)
LCM = 54860308715520/6336
LCM = 8658508320
Thus, we can understand that the LCM of 916,363,616,288,930 is 8658508320.
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FAQs on LCM of 916, 363, 616, 288, 930
1. What is the LCM of 916, 363, 616, 288, 930?
Answer: LCM of 916, 363, 616, 288, 930 is 8658508320.
2. How to calculate the LCM of 916, 363, 616, 288, 930?
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 916, 363, 616, 288, 930.
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}.