LCM of 342, 299, 201, 713, 134
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 342, 299, 201, 713, 134 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 342, 299, 201, 713, 134. So, keep reading to learn more.
Given numbers are 342,299,201,713,134
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,299,201,713,134 is 212389866.
Find LCM of 342,299,201,713,134 with Prime Factorization
| 2 | 342, 299, 201, 713, 134 |
| 3 | 171, 299, 201, 713, 67 |
| 23 | 57, 299, 67, 713, 67 |
| 67 | 57, 13, 67, 31, 67 |
| 57, 13, 1, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 67 x 57 x 13 x 1 x 31 x 1 = 212389866
Therefore, the lowest common multiple of 342,299,201,713,134 is 212389866.
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.
342 x 299 x 201 x 713 x 134 = 1963756701036
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
299 : 1, 13, 23, 299
201 : 1, 3, 67, 201
713 : 1, 23, 31, 713
134 : 1, 2, 67, 134
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,299,201,713,134, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
299:13x 23
201:3x 67
713:23x 31
134:2x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23x 67 = 9246
Therefore, the value for common factors is 9246.
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 = 1963756701036/(1x9246)
LCM = 1963756701036/9246
LCM = 212389866
Thus, we can understand that the LCM of 342,299,201,713,134 is 212389866.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 342, 299, 201, 713, 134
1. What is the LCM of 342, 299, 201, 713, 134?
Answer: LCM of 342, 299, 201, 713, 134 is 212389866.
2. How to calculate the LCM of 342, 299, 201, 713, 134?
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 342, 299, 201, 713, 134.
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}.