LCM of 722, 190, 382, 155, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 190, 382, 155, 589 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 722, 190, 382, 155, 589. So, keep reading to learn more.
Given numbers are 722,190,382,155,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,190,382,155,589 is 21374810.
Find LCM of 722,190,382,155,589 with Prime Factorization
| 2 | 722, 190, 382, 155, 589 |
| 5 | 361, 95, 191, 155, 589 |
| 19 | 361, 19, 191, 31, 589 |
| 31 | 1, 19, 191, 31, 31 |
| 1, 19, 191, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 31 x 1 x 19 x 191 x 1 x 1 = 21374810
Therefore, the lowest common multiple of 722,190,382,155,589 is 21374810.
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.
722 x 190 x 382 x 155 x 589 = 4784109974200
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.
722 : 1, 2, 19, 38, 361, 722
190 : 1, 2, 5, 10, 19, 38, 95, 190
382 : 1, 2, 191, 382
155 : 1, 5, 31, 155
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,190,382,155,589, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
190:2x 5x 19
382:2x 191
155:5x 31
589:19x 31
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 5x 19x 19x 31 = 223820
Therefore, the value for common factors is 223820.
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 = 4784109974200/(1x223820)
LCM = 4784109974200/223820
LCM = 21374810
Thus, we can understand that the LCM of 722,190,382,155,589 is 21374810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 722, 190, 382, 155, 589
1. What is the LCM of 722, 190, 382, 155, 589?
Answer: LCM of 722, 190, 382, 155, 589 is 21374810.
2. How to calculate the LCM of 722, 190, 382, 155, 589?
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 722, 190, 382, 155, 589.
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}.