LCM of 730, 598, 686, 706, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 598, 686, 706, 230 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 730, 598, 686, 706, 230. So, keep reading to learn more.
Given numbers are 730,598,686,706,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,598,686,706,230 is 26427913330.
Find LCM of 730,598,686,706,230 with Prime Factorization
| 2 | 730, 598, 686, 706, 230 |
| 5 | 365, 299, 343, 353, 115 |
| 23 | 73, 299, 343, 353, 23 |
| 73, 13, 343, 353, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 73 x 13 x 343 x 353 x 1 = 26427913330
Therefore, the lowest common multiple of 730,598,686,706,230 is 26427913330.
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.
730 x 598 x 686 x 706 x 230 = 48627360527200
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
598 : 1, 2, 13, 23, 26, 46, 299, 598
686 : 1, 2, 7, 14, 49, 98, 343, 686
706 : 1, 2, 353, 706
230 : 1, 2, 5, 10, 23, 46, 115, 230
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,598,686,706,230, is 2.
Now, the common factors can be found like this.
730:2x 5x 73
598:2x 13x 23
686:2x 7x 7x 7
706:2x 353
230:2x 5x 23
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 5x 23 = 920
Therefore, the value for common factors is 920.
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 = 48627360527200/(2x920)
LCM = 48627360527200/1840
LCM = 26427913330
Thus, we can understand that the LCM of 730,598,686,706,230 is 26427913330.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 730, 598, 686, 706, 230
1. What is the LCM of 730, 598, 686, 706, 230?
Answer: LCM of 730, 598, 686, 706, 230 is 26427913330.
2. How to calculate the LCM of 730, 598, 686, 706, 230?
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 730, 598, 686, 706, 230.
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}.