LCM of 689, 258, 726, 723, 301
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 258, 726, 723, 301 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 689, 258, 726, 723, 301. So, keep reading to learn more.
Given numbers are 689,258,726,723,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,258,726,723,301 is 36286023774.
Find LCM of 689,258,726,723,301 with Prime Factorization
| 2 | 689, 258, 726, 723, 301 |
| 3 | 689, 129, 363, 723, 301 |
| 43 | 689, 43, 121, 241, 301 |
| 689, 1, 121, 241, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 689 x 1 x 121 x 241 x 7 = 36286023774
Therefore, the lowest common multiple of 689,258,726,723,301 is 36286023774.
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.
689 x 258 x 726 x 723 x 301 = 28085382401076
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.
689 : 1, 13, 53, 689
258 : 1, 2, 3, 6, 43, 86, 129, 258
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
723 : 1, 3, 241, 723
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,258,726,723,301, is 1.
Now, the common factors can be found like this.
689:13x 53
258:2x 3x 43
726:2x 3x 11x 11
723:3x 241
301:7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 43 = 774
Therefore, the value for common factors is 774.
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 = 28085382401076/(1x774)
LCM = 28085382401076/774
LCM = 36286023774
Thus, we can understand that the LCM of 689,258,726,723,301 is 36286023774.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 258, 726, 723, 301
1. What is the LCM of 689, 258, 726, 723, 301?
Answer: LCM of 689, 258, 726, 723, 301 is 36286023774.
2. How to calculate the LCM of 689, 258, 726, 723, 301?
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 689, 258, 726, 723, 301.
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}.