LCM of 348, 616, 502, 794, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 616, 502, 794, 706 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 348, 616, 502, 794, 706. So, keep reading to learn more.
Given numbers are 348,616,502,794,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,616,502,794,706 is 1885119554472.
Find LCM of 348,616,502,794,706 with Prime Factorization
| 2 | 348, 616, 502, 794, 706 |
| 2 | 174, 308, 251, 397, 353 |
| 87, 154, 251, 397, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 87 x 154 x 251 x 397 x 353 = 1885119554472
Therefore, the lowest common multiple of 348,616,502,794,706 is 1885119554472.
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.
348 x 616 x 502 x 794 x 706 = 60323825743104
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
502 : 1, 2, 251, 502
794 : 1, 2, 397, 794
706 : 1, 2, 353, 706
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,616,502,794,706, is 2.
Now, the common factors can be found like this.
348:2x 2x 3x 29
616:2x 2x 2x 7x 11
502:2x 251
794:2x 397
706:2x 353
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 2 = 16
Therefore, the value for common factors is 16.
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 = 60323825743104/(2x16)
LCM = 60323825743104/32
LCM = 1885119554472
Thus, we can understand that the LCM of 348,616,502,794,706 is 1885119554472.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 348, 616, 502, 794, 706
1. What is the LCM of 348, 616, 502, 794, 706?
Answer: LCM of 348, 616, 502, 794, 706 is 1885119554472.
2. How to calculate the LCM of 348, 616, 502, 794, 706?
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 348, 616, 502, 794, 706.
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}.