LCM of 722, 289, 866, 308, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 289, 866, 308, 407 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 722, 289, 866, 308, 407. So, keep reading to learn more.
Given numbers are 722,289,866,308,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,289,866,308,407 is 514808111972.
Find LCM of 722,289,866,308,407 with Prime Factorization
| 2 | 722, 289, 866, 308, 407 |
| 11 | 361, 289, 433, 154, 407 |
| 361, 289, 433, 14, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 361 x 289 x 433 x 14 x 37 = 514808111972
Therefore, the lowest common multiple of 722,289,866,308,407 is 514808111972.
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.
722 x 289 x 866 x 308 x 407 = 22651556926768
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.
722 : 1, 2, 19, 38, 361, 722
289 : 1, 17, 289
866 : 1, 2, 433, 866
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,289,866,308,407, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
289:17x 17
866:2x 433
308:2x 2x 7x 11
407:11x 37
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 11 = 44
Therefore, the value for common factors is 44.
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 = 22651556926768/(1x44)
LCM = 22651556926768/44
LCM = 514808111972
Thus, we can understand that the LCM of 722,289,866,308,407 is 514808111972.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 722, 289, 866, 308, 407
1. What is the LCM of 722, 289, 866, 308, 407?
Answer: LCM of 722, 289, 866, 308, 407 is 514808111972.
2. How to calculate the LCM of 722, 289, 866, 308, 407?
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 722, 289, 866, 308, 407.
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}.