LCM of 442, 323, 709, 117, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 323, 709, 117, 614 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 442, 323, 709, 117, 614. So, keep reading to learn more.
Given numbers are 442,323,709,117,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,323,709,117,614 is 16451404866.
Find LCM of 442,323,709,117,614 with Prime Factorization
| 2 | 442, 323, 709, 117, 614 |
| 13 | 221, 323, 709, 117, 307 |
| 17 | 17, 323, 709, 9, 307 |
| 1, 19, 709, 9, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 1 x 19 x 709 x 9 x 307 = 16451404866
Therefore, the lowest common multiple of 442,323,709,117,614 is 16451404866.
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.
442 x 323 x 709 x 117 x 614 = 7271520950772
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
323 : 1, 17, 19, 323
709 : 1, 709
117 : 1, 3, 9, 13, 39, 117
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,323,709,117,614, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
323:17x 19
709:709
117:3x 3x 13
614:2x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 7271520950772/(1x442)
LCM = 7271520950772/442
LCM = 16451404866
Thus, we can understand that the LCM of 442,323,709,117,614 is 16451404866.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 442, 323, 709, 117, 614
1. What is the LCM of 442, 323, 709, 117, 614?
Answer: LCM of 442, 323, 709, 117, 614 is 16451404866.
2. How to calculate the LCM of 442, 323, 709, 117, 614?
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 442, 323, 709, 117, 614.
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}.