LCM of 391, 906, 403, 710, 713
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 906, 403, 710, 713 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 391, 906, 403, 710, 713. So, keep reading to learn more.
Given numbers are 391,906,403,710,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,906,403,710,713 is 50680203990.
Find LCM of 391,906,403,710,713 with Prime Factorization
| 2 | 391, 906, 403, 710, 713 |
| 23 | 391, 453, 403, 355, 713 |
| 31 | 17, 453, 403, 355, 31 |
| 17, 453, 13, 355, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 31 x 17 x 453 x 13 x 355 x 1 = 50680203990
Therefore, the lowest common multiple of 391,906,403,710,713 is 50680203990.
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.
391 x 906 x 403 x 710 x 713 = 72269970889740
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.
391 : 1, 17, 23, 391
906 : 1, 2, 3, 6, 151, 302, 453, 906
403 : 1, 13, 31, 403
710 : 1, 2, 5, 10, 71, 142, 355, 710
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,906,403,710,713, is 1.
Now, the common factors can be found like this.
391:17x 23
906:2x 3x 151
403:13x 31
710:2x 5x 71
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 31 = 1426
Therefore, the value for common factors is 1426.
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 = 72269970889740/(1x1426)
LCM = 72269970889740/1426
LCM = 50680203990
Thus, we can understand that the LCM of 391,906,403,710,713 is 50680203990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 391, 906, 403, 710, 713
1. What is the LCM of 391, 906, 403, 710, 713?
Answer: LCM of 391, 906, 403, 710, 713 is 50680203990.
2. How to calculate the LCM of 391, 906, 403, 710, 713?
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 391, 906, 403, 710, 713.
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}.