LCM of 283, 884, 507, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 884, 507, 170 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 283, 884, 507, 170. So, keep reading to learn more.
Given numbers are 283,884,507,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,884,507,170 is 48783540.
Find LCM of 283,884,507,170 with Prime Factorization
| 2 | 283, 884, 507, 170 |
| 13 | 283, 442, 507, 85 |
| 17 | 283, 34, 39, 85 |
| 283, 2, 39, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 283 x 2 x 39 x 5 = 48783540
Therefore, the lowest common multiple of 283,884,507,170 is 48783540.
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.
283 x 884 x 507 x 170 = 21562324680
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.
283 : 1, 283
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
507 : 1, 3, 13, 39, 169, 507
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,884,507,170, is 1.
Now, the common factors can be found like this.
283:283
884:2x 2x 13x 17
507:3x 13x 13
170:2x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 21562324680/(1x442)
LCM = 21562324680/442
LCM = 48783540
Thus, we can understand that the LCM of 283,884,507,170 is 48783540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 283, 884, 507, 170
1. What is the LCM of 283, 884, 507, 170?
Answer: LCM of 283, 884, 507, 170 is 48783540.
2. How to calculate the LCM of 283, 884, 507, 170?
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 283, 884, 507, 170.
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}.