LCM of 985, 507, 523, 858, 350
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 507, 523, 858, 350 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 985, 507, 523, 858, 350. So, keep reading to learn more.
Given numbers are 985,507,523,858,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,507,523,858,350 is 201111360450.
Find LCM of 985,507,523,858,350 with Prime Factorization
| 2 | 985, 507, 523, 858, 350 |
| 3 | 985, 507, 523, 429, 175 |
| 5 | 985, 169, 523, 143, 175 |
| 13 | 197, 169, 523, 143, 35 |
| 197, 13, 523, 11, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 197 x 13 x 523 x 11 x 35 = 201111360450
Therefore, the lowest common multiple of 985,507,523,858,350 is 201111360450.
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.
985 x 507 x 523 x 858 x 350 = 78433430575500
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.
985 : 1, 5, 197, 985
507 : 1, 3, 13, 39, 169, 507
523 : 1, 523
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,507,523,858,350, is 1.
Now, the common factors can be found like this.
985:5x 197
507:3x 13x 13
523:523
858:2x 3x 11x 13
350:2x 5x 5x 7
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 5x 13 = 390
Therefore, the value for common factors is 390.
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 = 78433430575500/(1x390)
LCM = 78433430575500/390
LCM = 201111360450
Thus, we can understand that the LCM of 985,507,523,858,350 is 201111360450.
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FAQs on LCM of 985, 507, 523, 858, 350
1. What is the LCM of 985, 507, 523, 858, 350?
Answer: LCM of 985, 507, 523, 858, 350 is 201111360450.
2. How to calculate the LCM of 985, 507, 523, 858, 350?
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 985, 507, 523, 858, 350.
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}.