LCM of 706, 302, 872, 723, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 302, 872, 723, 109 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, 302, 872, 723, 109. So, keep reading to learn more.
Given numbers are 706,302,872,723,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,302,872,723,109 is 33605196168.
Find LCM of 706,302,872,723,109 with Prime Factorization
| 2 | 706, 302, 872, 723, 109 |
| 109 | 353, 151, 436, 723, 109 |
| 353, 151, 4, 723, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 109 x 353 x 151 x 4 x 723 x 1 = 33605196168
Therefore, the lowest common multiple of 706,302,872,723,109 is 33605196168.
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 302 x 872 x 723 x 109 = 14651865529248
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
302 : 1, 2, 151, 302
872 : 1, 2, 4, 8, 109, 218, 436, 872
723 : 1, 3, 241, 723
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,302,872,723,109, is 1.
Now, the common factors can be found like this.
706:2x 353
302:2x 151
872:2x 2x 2x 109
723:3x 241
109:109
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 109 = 436
Therefore, the value for common factors is 436.
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 = 14651865529248/(1x436)
LCM = 14651865529248/436
LCM = 33605196168
Thus, we can understand that the LCM of 706,302,872,723,109 is 33605196168.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 706, 302, 872, 723, 109
1. What is the LCM of 706, 302, 872, 723, 109?
Answer: LCM of 706, 302, 872, 723, 109 is 33605196168.
2. How to calculate the LCM of 706, 302, 872, 723, 109?
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, 302, 872, 723, 109.
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}.