LCM of 706, 604, 678, 460, 830
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 604, 678, 460, 830 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 706, 604, 678, 460, 830. So, keep reading to learn more.
Given numbers are 706,604,678,460,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,604,678,460,830 is 689901795060.
Find LCM of 706,604,678,460,830 with Prime Factorization
| 2 | 706, 604, 678, 460, 830 |
| 2 | 353, 302, 339, 230, 415 |
| 5 | 353, 151, 339, 115, 415 |
| 353, 151, 339, 23, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 353 x 151 x 339 x 23 x 83 = 689901795060
Therefore, the lowest common multiple of 706,604,678,460,830 is 689901795060.
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.
706 x 604 x 678 x 460 x 830 = 110384287209600
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.
706 : 1, 2, 353, 706
604 : 1, 2, 4, 151, 302, 604
678 : 1, 2, 3, 6, 113, 226, 339, 678
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
830 : 1, 2, 5, 10, 83, 166, 415, 830
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,604,678,460,830, is 2.
Now, the common factors can be found like this.
706:2x 353
604:2x 2x 151
678:2x 3x 113
460:2x 2x 5x 23
830:2x 5x 83
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 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 110384287209600/(2x80)
LCM = 110384287209600/160
LCM = 689901795060
Thus, we can understand that the LCM of 706,604,678,460,830 is 689901795060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 706, 604, 678, 460, 830
1. What is the LCM of 706, 604, 678, 460, 830?
Answer: LCM of 706, 604, 678, 460, 830 is 689901795060.
2. How to calculate the LCM of 706, 604, 678, 460, 830?
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 706, 604, 678, 460, 830.
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}.