LCM of 928, 302, 489, 144, 907
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 928, 302, 489, 144, 907 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 928, 302, 489, 144, 907. So, keep reading to learn more.
Given numbers are 928,302,489,144,907
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,302,489,144,907 is 186449972832.
Find LCM of 928,302,489,144,907 with Prime Factorization
| 2 | 928, 302, 489, 144, 907 |
| 2 | 464, 151, 489, 72, 907 |
| 2 | 232, 151, 489, 36, 907 |
| 2 | 116, 151, 489, 18, 907 |
| 3 | 58, 151, 489, 9, 907 |
| 58, 151, 163, 3, 907 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 58 x 151 x 163 x 3 x 907 = 186449972832
Therefore, the lowest common multiple of 928,302,489,144,907 is 186449972832.
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.
928 x 302 x 489 x 144 x 907 = 17899197391872
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
302 : 1, 2, 151, 302
489 : 1, 3, 163, 489
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
907 : 1, 907
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,302,489,144,907, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
302:2x 151
489:3x 163
144:2x 2x 2x 2x 3x 3
907:907
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 3 = 96
Therefore, the value for common factors is 96.
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 = 17899197391872/(1x96)
LCM = 17899197391872/96
LCM = 186449972832
Thus, we can understand that the LCM of 928,302,489,144,907 is 186449972832.
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FAQs on LCM of 928, 302, 489, 144, 907
1. What is the LCM of 928, 302, 489, 144, 907?
Answer: LCM of 928, 302, 489, 144, 907 is 186449972832.
2. How to calculate the LCM of 928, 302, 489, 144, 907?
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 928, 302, 489, 144, 907.
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}.