Find the LCM of 340, 913, 173, 143 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 340, 913, 173, 143. So, keep reading to learn more.
Given numbers are 340,913,173,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 340,913,173,143 is 698134580.
Find LCM of 340,913,173,143 with Prime Factorization
11 | 340, 913, 173, 143 |
340, 83, 173, 13 |
Multiply the prime numbers at the bottom and the left side.
11 x 340 x 83 x 173 x 13 = 698134580
Therefore, the lowest common multiple of 340,913,173,143 is 698134580.
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.
340 x 913 x 173 x 143 = 7679480380
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.
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
913 : 1, 11, 83, 913
173 : 1, 173
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,913,173,143, is 1.
Now, the common factors can be found like this.
340:2x 2x 5x 17
913:11x 83
173:173
143:11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 7679480380/(1x11)
LCM = 7679480380/11
LCM = 698134580
Thus, we can understand that the LCM of 340,913,173,143 is 698134580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 340, 913, 173, 143?
Answer: LCM of 340, 913, 173, 143 is 698134580.
2. How to calculate the LCM of 340, 913, 173, 143?
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 340, 913, 173, 143.
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}.