LCM of 852, 418, 781, 579, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 418, 781, 579, 803 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 852, 418, 781, 579, 803. So, keep reading to learn more.
Given numbers are 852,418,781,579,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,418,781,579,803 is 2508800052.
Find LCM of 852,418,781,579,803 with Prime Factorization
| 2 | 852, 418, 781, 579, 803 |
| 3 | 426, 209, 781, 579, 803 |
| 11 | 142, 209, 781, 193, 803 |
| 71 | 142, 19, 71, 193, 73 |
| 2, 19, 1, 193, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 71 x 2 x 19 x 1 x 193 x 73 = 2508800052
Therefore, the lowest common multiple of 852,418,781,579,803 is 2508800052.
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.
852 x 418 x 781 x 579 x 803 = 129318607480392
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
418 : 1, 2, 11, 19, 22, 38, 209, 418
781 : 1, 11, 71, 781
579 : 1, 3, 193, 579
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,418,781,579,803, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
418:2x 11x 19
781:11x 71
579:3x 193
803:11x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 11x 71 = 51546
Therefore, the value for common factors is 51546.
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 = 129318607480392/(1x51546)
LCM = 129318607480392/51546
LCM = 2508800052
Thus, we can understand that the LCM of 852,418,781,579,803 is 2508800052.
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FAQs on LCM of 852, 418, 781, 579, 803
1. What is the LCM of 852, 418, 781, 579, 803?
Answer: LCM of 852, 418, 781, 579, 803 is 2508800052.
2. How to calculate the LCM of 852, 418, 781, 579, 803?
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 852, 418, 781, 579, 803.
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}.