LCM of 671, 489, 814, 862, 503
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 489, 814, 862, 503 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 671, 489, 814, 862, 503. So, keep reading to learn more.
Given numbers are 671,489,814,862,503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,489,814,862,503 is 5263908775158.
Find LCM of 671,489,814,862,503 with Prime Factorization
| 2 | 671, 489, 814, 862, 503 |
| 11 | 671, 489, 407, 431, 503 |
| 61, 489, 37, 431, 503 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 61 x 489 x 37 x 431 x 503 = 5263908775158
Therefore, the lowest common multiple of 671,489,814,862,503 is 5263908775158.
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.
671 x 489 x 814 x 862 x 503 = 115805993053476
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.
671 : 1, 11, 61, 671
489 : 1, 3, 163, 489
814 : 1, 2, 11, 22, 37, 74, 407, 814
862 : 1, 2, 431, 862
503 : 1, 503
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,489,814,862,503, is 1.
Now, the common factors can be found like this.
671:11x 61
489:3x 163
814:2x 11x 37
862:2x 431
503:503
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 115805993053476/(1x22)
LCM = 115805993053476/22
LCM = 5263908775158
Thus, we can understand that the LCM of 671,489,814,862,503 is 5263908775158.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 671, 489, 814, 862, 503
1. What is the LCM of 671, 489, 814, 862, 503?
Answer: LCM of 671, 489, 814, 862, 503 is 5263908775158.
2. How to calculate the LCM of 671, 489, 814, 862, 503?
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 671, 489, 814, 862, 503.
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}.