LCM of 734, 242, 609, 888, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 734, 242, 609, 888, 682 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 734, 242, 609, 888, 682. So, keep reading to learn more.
Given numbers are 734,242,609,888,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 734,242,609,888,682 is 248154486888.
Find LCM of 734,242,609,888,682 with Prime Factorization
| 2 | 734, 242, 609, 888, 682 |
| 3 | 367, 121, 609, 444, 341 |
| 11 | 367, 121, 203, 148, 341 |
| 367, 11, 203, 148, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 367 x 11 x 203 x 148 x 31 = 248154486888
Therefore, the lowest common multiple of 734,242,609,888,682 is 248154486888.
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.
734 x 242 x 609 x 888 x 682 = 65512784538432
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.
734 : 1, 2, 367, 734
242 : 1, 2, 11, 22, 121, 242
609 : 1, 3, 7, 21, 29, 87, 203, 609
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,242,609,888,682, is 1.
Now, the common factors can be found like this.
734:2x 367
242:2x 11x 11
609:3x 7x 29
888:2x 2x 2x 3x 37
682:2x 11x 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 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 65512784538432/(1x264)
LCM = 65512784538432/264
LCM = 248154486888
Thus, we can understand that the LCM of 734,242,609,888,682 is 248154486888.
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FAQs on LCM of 734, 242, 609, 888, 682
1. What is the LCM of 734, 242, 609, 888, 682?
Answer: LCM of 734, 242, 609, 888, 682 is 248154486888.
2. How to calculate the LCM of 734, 242, 609, 888, 682?
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 734, 242, 609, 888, 682.
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}.