LCM of 985, 731, 247, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 731, 247, 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 985, 731, 247, 170. So, keep reading to learn more.
Given numbers are 985,731,247,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,731,247,170 is 355697290.
Find LCM of 985,731,247,170 with Prime Factorization
| 5 | 985, 731, 247, 170 |
| 17 | 197, 731, 247, 34 |
| 197, 43, 247, 2 |
Multiply the prime numbers at the bottom and the left side.
5 x 17 x 197 x 43 x 247 x 2 = 355697290
Therefore, the lowest common multiple of 985,731,247,170 is 355697290.
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 731 x 247 x 170 = 30234269650
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
731 : 1, 17, 43, 731
247 : 1, 13, 19, 247
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 985,731,247,170, is 1.
Now, the common factors can be found like this.
985:5x 197
731:17x 43
247:13x 19
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.
5x 17 = 85
Therefore, the value for common factors is 85.
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 = 30234269650/(1x85)
LCM = 30234269650/85
LCM = 355697290
Thus, we can understand that the LCM of 985,731,247,170 is 355697290.
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FAQs on LCM of 985, 731, 247, 170
1. What is the LCM of 985, 731, 247, 170?
Answer: LCM of 985, 731, 247, 170 is 355697290.
2. How to calculate the LCM of 985, 731, 247, 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 985, 731, 247, 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}.