LCM of 222, 731, 190, 816, 739
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 731, 190, 816, 739 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 222, 731, 190, 816, 739. So, keep reading to learn more.
Given numbers are 222,731,190,816,739
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,731,190,816,739 is 91144062480.
Find LCM of 222,731,190,816,739 with Prime Factorization
| 2 | 222, 731, 190, 816, 739 |
| 3 | 111, 731, 95, 408, 739 |
| 17 | 37, 731, 95, 136, 739 |
| 37, 43, 95, 8, 739 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 37 x 43 x 95 x 8 x 739 = 91144062480
Therefore, the lowest common multiple of 222,731,190,816,739 is 91144062480.
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.
222 x 731 x 190 x 816 x 739 = 18593388745920
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
731 : 1, 17, 43, 731
190 : 1, 2, 5, 10, 19, 38, 95, 190
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
739 : 1, 739
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,731,190,816,739, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
731:17x 43
190:2x 5x 19
816:2x 2x 2x 2x 3x 17
739:739
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 3x 17 = 204
Therefore, the value for common factors is 204.
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 = 18593388745920/(1x204)
LCM = 18593388745920/204
LCM = 91144062480
Thus, we can understand that the LCM of 222,731,190,816,739 is 91144062480.
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FAQs on LCM of 222, 731, 190, 816, 739
1. What is the LCM of 222, 731, 190, 816, 739?
Answer: LCM of 222, 731, 190, 816, 739 is 91144062480.
2. How to calculate the LCM of 222, 731, 190, 816, 739?
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 222, 731, 190, 816, 739.
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}.