LCM of 296, 372, 866, 592, 691
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 372, 866, 592, 691 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 296, 372, 866, 592, 691. So, keep reading to learn more.
Given numbers are 296,372,866,592,691
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,372,866,592,691 is 16472920368.
Find LCM of 296,372,866,592,691 with Prime Factorization
| 2 | 296, 372, 866, 592, 691 |
| 2 | 148, 186, 433, 296, 691 |
| 2 | 74, 93, 433, 148, 691 |
| 37 | 37, 93, 433, 74, 691 |
| 1, 93, 433, 2, 691 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 37 x 1 x 93 x 433 x 2 x 691 = 16472920368
Therefore, the lowest common multiple of 296,372,866,592,691 is 16472920368.
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.
296 x 372 x 866 x 592 x 691 = 39007875431424
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
866 : 1, 2, 433, 866
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
691 : 1, 691
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,372,866,592,691, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
372:2x 2x 3x 31
866:2x 433
592:2x 2x 2x 2x 37
691:691
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 2x 2x 37 = 2368
Therefore, the value for common factors is 2368.
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 = 39007875431424/(1x2368)
LCM = 39007875431424/2368
LCM = 16472920368
Thus, we can understand that the LCM of 296,372,866,592,691 is 16472920368.
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FAQs on LCM of 296, 372, 866, 592, 691
1. What is the LCM of 296, 372, 866, 592, 691?
Answer: LCM of 296, 372, 866, 592, 691 is 16472920368.
2. How to calculate the LCM of 296, 372, 866, 592, 691?
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 296, 372, 866, 592, 691.
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}.