Find the LCM of 383, 691, 749, 533, 214 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 383, 691, 749, 533, 214. So, keep reading to learn more.
Given numbers are 383,691,749,533,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,691,749,533,214 is 211307953402.
Find LCM of 383,691,749,533,214 with Prime Factorization
107 | 383, 691, 749, 533, 214 |
383, 691, 7, 533, 2 |
Multiply the prime numbers at the bottom and the left side.
107 x 383 x 691 x 7 x 533 x 2 = 211307953402
Therefore, the lowest common multiple of 383,691,749,533,214 is 211307953402.
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.
383 x 691 x 749 x 533 x 214 = 22609951014014
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.
383 : 1, 383
691 : 1, 691
749 : 1, 7, 107, 749
533 : 1, 13, 41, 533
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,691,749,533,214, is 1.
Now, the common factors can be found like this.
383:383
691:691
749:7x 107
533:13x 41
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
107 = 107
Therefore, the value for common factors is 107.
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 = 22609951014014/(1x107)
LCM = 22609951014014/107
LCM = 211307953402
Thus, we can understand that the LCM of 383,691,749,533,214 is 211307953402.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 383, 691, 749, 533, 214?
Answer: LCM of 383, 691, 749, 533, 214 is 211307953402.
2. How to calculate the LCM of 383, 691, 749, 533, 214?
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 383, 691, 749, 533, 214.
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}.