LCM of 280, 924, 446, 148, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 924, 446, 148, 906 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 280, 924, 446, 148, 906. So, keep reading to learn more.
Given numbers are 280,924,446,148,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,924,446,148,906 is 11512125240.
Find LCM of 280,924,446,148,906 with Prime Factorization
| 2 | 280, 924, 446, 148, 906 |
| 2 | 140, 462, 223, 74, 453 |
| 3 | 70, 231, 223, 37, 453 |
| 7 | 70, 77, 223, 37, 151 |
| 10, 11, 223, 37, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 10 x 11 x 223 x 37 x 151 = 11512125240
Therefore, the lowest common multiple of 280,924,446,148,906 is 11512125240.
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.
280 x 924 x 446 x 148 x 906 = 15472296322560
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
446 : 1, 2, 223, 446
148 : 1, 2, 4, 37, 74, 148
906 : 1, 2, 3, 6, 151, 302, 453, 906
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,924,446,148,906, is 2.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
924:2x 2x 3x 7x 11
446:2x 223
148:2x 2x 37
906:2x 3x 151
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 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 15472296322560/(2x672)
LCM = 15472296322560/1344
LCM = 11512125240
Thus, we can understand that the LCM of 280,924,446,148,906 is 11512125240.
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FAQs on LCM of 280, 924, 446, 148, 906
1. What is the LCM of 280, 924, 446, 148, 906?
Answer: LCM of 280, 924, 446, 148, 906 is 11512125240.
2. How to calculate the LCM of 280, 924, 446, 148, 906?
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 280, 924, 446, 148, 906.
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}.