LCM of 612, 352, 442, 692, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 352, 442, 692, 814 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 612, 352, 442, 692, 814. So, keep reading to learn more.
Given numbers are 612,352,442,692,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,352,442,692,814 is 4481519328.
Find LCM of 612,352,442,692,814 with Prime Factorization
| 2 | 612, 352, 442, 692, 814 |
| 2 | 306, 176, 221, 346, 407 |
| 11 | 153, 88, 221, 173, 407 |
| 17 | 153, 8, 221, 173, 37 |
| 9, 8, 13, 173, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 9 x 8 x 13 x 173 x 37 = 4481519328
Therefore, the lowest common multiple of 612,352,442,692,814 is 4481519328.
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.
612 x 352 x 442 x 692 x 814 = 53634823317504
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
442 : 1, 2, 13, 17, 26, 34, 221, 442
692 : 1, 2, 4, 173, 346, 692
814 : 1, 2, 11, 22, 37, 74, 407, 814
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,352,442,692,814, is 2.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
352:2x 2x 2x 2x 2x 11
442:2x 13x 17
692:2x 2x 173
814:2x 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 2x 2x 2x 11x 17 = 5984
Therefore, the value for common factors is 5984.
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 = 53634823317504/(2x5984)
LCM = 53634823317504/11968
LCM = 4481519328
Thus, we can understand that the LCM of 612,352,442,692,814 is 4481519328.
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FAQs on LCM of 612, 352, 442, 692, 814
1. What is the LCM of 612, 352, 442, 692, 814?
Answer: LCM of 612, 352, 442, 692, 814 is 4481519328.
2. How to calculate the LCM of 612, 352, 442, 692, 814?
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 612, 352, 442, 692, 814.
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}.