LCM of 346, 713, 130, 627, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 713, 130, 627, 858 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 346, 713, 130, 627, 858. So, keep reading to learn more.
Given numbers are 346,713,130,627,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,713,130,627,858 is 10054176990.
Find LCM of 346,713,130,627,858 with Prime Factorization
| 2 | 346, 713, 130, 627, 858 |
| 3 | 173, 713, 65, 627, 429 |
| 11 | 173, 713, 65, 209, 143 |
| 13 | 173, 713, 65, 19, 13 |
| 173, 713, 5, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 173 x 713 x 5 x 19 x 1 = 10054176990
Therefore, the lowest common multiple of 346,713,130,627,858 is 10054176990.
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.
346 x 713 x 130 x 627 x 858 = 17252967714840
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.
346 : 1, 2, 173, 346
713 : 1, 23, 31, 713
130 : 1, 2, 5, 10, 13, 26, 65, 130
627 : 1, 3, 11, 19, 33, 57, 209, 627
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,713,130,627,858, is 1.
Now, the common factors can be found like this.
346:2x 173
713:23x 31
130:2x 5x 13
627:3x 11x 19
858:2x 3x 11x 13
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 3x 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 17252967714840/(1x1716)
LCM = 17252967714840/1716
LCM = 10054176990
Thus, we can understand that the LCM of 346,713,130,627,858 is 10054176990.
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FAQs on LCM of 346, 713, 130, 627, 858
1. What is the LCM of 346, 713, 130, 627, 858?
Answer: LCM of 346, 713, 130, 627, 858 is 10054176990.
2. How to calculate the LCM of 346, 713, 130, 627, 858?
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 346, 713, 130, 627, 858.
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}.