LCM of 185, 703, 171, 509, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 185, 703, 171, 509, 339 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 185, 703, 171, 509, 339. So, keep reading to learn more.
Given numbers are 185,703,171,509,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 185,703,171,509,339 is 1819550295.
Find LCM of 185,703,171,509,339 with Prime Factorization
| 3 | 185, 703, 171, 509, 339 |
| 19 | 185, 703, 57, 509, 113 |
| 37 | 185, 37, 3, 509, 113 |
| 5, 1, 3, 509, 113 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 37 x 5 x 1 x 3 x 509 x 113 = 1819550295
Therefore, the lowest common multiple of 185,703,171,509,339 is 1819550295.
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.
185 x 703 x 171 x 509 x 339 = 3837431572155
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.
185 : 1, 5, 37, 185
703 : 1, 19, 37, 703
171 : 1, 3, 9, 19, 57, 171
509 : 1, 509
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,703,171,509,339, is 1.
Now, the common factors can be found like this.
185:5x 37
703:19x 37
171:3x 3x 19
509:509
339:3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19x 37 = 2109
Therefore, the value for common factors is 2109.
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 = 3837431572155/(1x2109)
LCM = 3837431572155/2109
LCM = 1819550295
Thus, we can understand that the LCM of 185,703,171,509,339 is 1819550295.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 185, 703, 171, 509, 339
1. What is the LCM of 185, 703, 171, 509, 339?
Answer: LCM of 185, 703, 171, 509, 339 is 1819550295.
2. How to calculate the LCM of 185, 703, 171, 509, 339?
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 185, 703, 171, 509, 339.
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}.