LCM of 706, 537, 458, 365, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 537, 458, 365, 905 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, 537, 458, 365, 905. So, keep reading to learn more.
Given numbers are 706,537,458,365,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,537,458,365,905 is 5735693138970.
Find LCM of 706,537,458,365,905 with Prime Factorization
| 2 | 706, 537, 458, 365, 905 |
| 5 | 353, 537, 229, 365, 905 |
| 353, 537, 229, 73, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 353 x 537 x 229 x 73 x 181 = 5735693138970
Therefore, the lowest common multiple of 706,537,458,365,905 is 5735693138970.
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 537 x 458 x 365 x 905 = 57356931389700
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
537 : 1, 3, 179, 537
458 : 1, 2, 229, 458
365 : 1, 5, 73, 365
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,537,458,365,905, is 1.
Now, the common factors can be found like this.
706:2x 353
537:3x 179
458:2x 229
365:5x 73
905:5x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 57356931389700/(1x10)
LCM = 57356931389700/10
LCM = 5735693138970
Thus, we can understand that the LCM of 706,537,458,365,905 is 5735693138970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 706, 537, 458, 365, 905
1. What is the LCM of 706, 537, 458, 365, 905?
Answer: LCM of 706, 537, 458, 365, 905 is 5735693138970.
2. How to calculate the LCM of 706, 537, 458, 365, 905?
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, 537, 458, 365, 905.
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}.