Find the LCM of 683, 343, 319, 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 683, 343, 319, 143. So, keep reading to learn more.
Given numbers are 683,343,319,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 683,343,319,143 is 971513543.
Find LCM of 683,343,319,143 with Prime Factorization
11 | 683, 343, 319, 143 |
683, 343, 29, 13 |
Multiply the prime numbers at the bottom and the left side.
11 x 683 x 343 x 29 x 13 = 971513543
Therefore, the lowest common multiple of 683,343,319,143 is 971513543.
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.
683 x 343 x 319 x 143 = 10686648973
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.
683 : 1, 683
343 : 1, 7, 49, 343
319 : 1, 11, 29, 319
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,343,319,143, is 1.
Now, the common factors can be found like this.
683:683
343:7x 7x 7
319:11x 29
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 = 10686648973/(1x11)
LCM = 10686648973/11
LCM = 971513543
Thus, we can understand that the LCM of 683,343,319,143 is 971513543.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 683, 343, 319, 143?
Answer: LCM of 683, 343, 319, 143 is 971513543.
2. How to calculate the LCM of 683, 343, 319, 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 683, 343, 319, 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}.