LCM of 463, 207, 926, 156, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 207, 926, 156, 488 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 463, 207, 926, 156, 488. So, keep reading to learn more.
Given numbers are 463,207,926,156,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,207,926,156,488 is 608015304.
Find LCM of 463,207,926,156,488 with Prime Factorization
| 2 | 463, 207, 926, 156, 488 |
| 2 | 463, 207, 463, 78, 244 |
| 3 | 463, 207, 463, 39, 122 |
| 463 | 463, 69, 463, 13, 122 |
| 1, 69, 1, 13, 122 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 463 x 1 x 69 x 1 x 13 x 122 = 608015304
Therefore, the lowest common multiple of 463,207,926,156,488 is 608015304.
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.
463 x 207 x 926 x 156 x 488 = 6756266058048
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.
463 : 1, 463
207 : 1, 3, 9, 23, 69, 207
926 : 1, 2, 463, 926
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,207,926,156,488, is 1.
Now, the common factors can be found like this.
463:463
207:3x 3x 23
926:2x 463
156:2x 2x 3x 13
488:2x 2x 2x 61
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 463 = 11112
Therefore, the value for common factors is 11112.
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 = 6756266058048/(1x11112)
LCM = 6756266058048/11112
LCM = 608015304
Thus, we can understand that the LCM of 463,207,926,156,488 is 608015304.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 463, 207, 926, 156, 488
1. What is the LCM of 463, 207, 926, 156, 488?
Answer: LCM of 463, 207, 926, 156, 488 is 608015304.
2. How to calculate the LCM of 463, 207, 926, 156, 488?
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 463, 207, 926, 156, 488.
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}.