Find the LCM of 347, 519, 399, 749, 993 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 347, 519, 399, 749, 993. So, keep reading to learn more.
Given numbers are 347,519,399,749,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,519,399,749,993 is 848321052873.
Find LCM of 347,519,399,749,993 with Prime Factorization
3 | 347, 519, 399, 749, 993 |
7 | 347, 173, 133, 749, 331 |
347, 173, 19, 107, 331 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 347 x 173 x 19 x 107 x 331 = 848321052873
Therefore, the lowest common multiple of 347,519,399,749,993 is 848321052873.
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.
347 x 519 x 399 x 749 x 993 = 53444226330999
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.
347 : 1, 347
519 : 1, 3, 173, 519
399 : 1, 3, 7, 19, 21, 57, 133, 399
749 : 1, 7, 107, 749
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,519,399,749,993, is 1.
Now, the common factors can be found like this.
347:347
519:3x 173
399:3x 7x 19
749:7x 107
993:3x 331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7 = 63
Therefore, the value for common factors is 63.
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 = 53444226330999/(1x63)
LCM = 53444226330999/63
LCM = 848321052873
Thus, we can understand that the LCM of 347,519,399,749,993 is 848321052873.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 519, 399, 749, 993?
Answer: LCM of 347, 519, 399, 749, 993 is 848321052873.
2. How to calculate the LCM of 347, 519, 399, 749, 993?
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 347, 519, 399, 749, 993.
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}.