Find the LCM of 573, 939, 683, 948, 700 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 573, 939, 683, 948, 700. So, keep reading to learn more.
Given numbers are 573,939,683,948,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,939,683,948,700 is 6773993795100.
Find LCM of 573,939,683,948,700 with Prime Factorization
2 | 573, 939, 683, 948, 700 |
2 | 573, 939, 683, 474, 350 |
3 | 573, 939, 683, 237, 175 |
191, 313, 683, 79, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 191 x 313 x 683 x 79 x 175 = 6773993795100
Therefore, the lowest common multiple of 573,939,683,948,700 is 6773993795100.
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.
573 x 939 x 683 x 948 x 700 = 243863776623600
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.
573 : 1, 3, 191, 573
939 : 1, 3, 313, 939
683 : 1, 683
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,939,683,948,700, is 1.
Now, the common factors can be found like this.
573:3x 191
939:3x 313
683:683
948:2x 2x 3x 79
700:2x 2x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 243863776623600/(1x36)
LCM = 243863776623600/36
LCM = 6773993795100
Thus, we can understand that the LCM of 573,939,683,948,700 is 6773993795100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 573, 939, 683, 948, 700?
Answer: LCM of 573, 939, 683, 948, 700 is 6773993795100.
2. How to calculate the LCM of 573, 939, 683, 948, 700?
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 573, 939, 683, 948, 700.
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}.