LCM of 199, 847, 972, 592, 185
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 199, 847, 972, 592, 185 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 199, 847, 972, 592, 185. So, keep reading to learn more.
Given numbers are 199,847,972,592,185
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 199,847,972,592,185 is 121236801840.
Find LCM of 199,847,972,592,185 with Prime Factorization
| 2 | 199, 847, 972, 592, 185 |
| 2 | 199, 847, 486, 296, 185 |
| 37 | 199, 847, 243, 148, 185 |
| 199, 847, 243, 4, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 199 x 847 x 243 x 4 x 5 = 121236801840
Therefore, the lowest common multiple of 199,847,972,592,185 is 121236801840.
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.
199 x 847 x 972 x 592 x 185 = 17943046672320
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.
199 : 1, 199
847 : 1, 7, 11, 77, 121, 847
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
185 : 1, 5, 37, 185
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,847,972,592,185, is 1.
Now, the common factors can be found like this.
199:199
847:7x 11x 11
972:2x 2x 3x 3x 3x 3x 3
592:2x 2x 2x 2x 37
185:5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 37 = 148
Therefore, the value for common factors is 148.
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 = 17943046672320/(1x148)
LCM = 17943046672320/148
LCM = 121236801840
Thus, we can understand that the LCM of 199,847,972,592,185 is 121236801840.
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FAQs on LCM of 199, 847, 972, 592, 185
1. What is the LCM of 199, 847, 972, 592, 185?
Answer: LCM of 199, 847, 972, 592, 185 is 121236801840.
2. How to calculate the LCM of 199, 847, 972, 592, 185?
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 199, 847, 972, 592, 185.
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}.