LCM of 985, 795, 158, 316, 997
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 795, 158, 316, 997 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, 795, 158, 316, 997. So, keep reading to learn more.
Given numbers are 985,795,158,316,997
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,795,158,316,997 is 49341868980.
Find LCM of 985,795,158,316,997 with Prime Factorization
| 2 | 985, 795, 158, 316, 997 |
| 5 | 985, 795, 79, 158, 997 |
| 79 | 197, 159, 79, 158, 997 |
| 197, 159, 1, 2, 997 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 79 x 197 x 159 x 1 x 2 x 997 = 49341868980
Therefore, the lowest common multiple of 985,795,158,316,997 is 49341868980.
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 795 x 158 x 316 x 997 = 38980076494200
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
795 : 1, 3, 5, 15, 53, 159, 265, 795
158 : 1, 2, 79, 158
316 : 1, 2, 4, 79, 158, 316
997 : 1, 997
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,795,158,316,997, is 1.
Now, the common factors can be found like this.
985:5x 197
795:3x 5x 53
158:2x 79
316:2x 2x 79
997:997
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 79 = 790
Therefore, the value for common factors is 790.
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 = 38980076494200/(1x790)
LCM = 38980076494200/790
LCM = 49341868980
Thus, we can understand that the LCM of 985,795,158,316,997 is 49341868980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 985, 795, 158, 316, 997
1. What is the LCM of 985, 795, 158, 316, 997?
Answer: LCM of 985, 795, 158, 316, 997 is 49341868980.
2. How to calculate the LCM of 985, 795, 158, 316, 997?
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, 795, 158, 316, 997.
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}.