Find the LCM of 751, 219, 438, 103, 574 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 751, 219, 438, 103, 574. So, keep reading to learn more.
Given numbers are 751,219,438,103,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,219,438,103,574 is 9723736218.
Find LCM of 751,219,438,103,574 with Prime Factorization
2 | 751, 219, 438, 103, 574 |
3 | 751, 219, 219, 103, 287 |
73 | 751, 73, 73, 103, 287 |
751, 1, 1, 103, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 73 x 751 x 1 x 1 x 103 x 287 = 9723736218
Therefore, the lowest common multiple of 751,219,438,103,574 is 9723736218.
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.
751 x 219 x 438 x 103 x 574 = 4258996463484
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.
751 : 1, 751
219 : 1, 3, 73, 219
438 : 1, 2, 3, 6, 73, 146, 219, 438
103 : 1, 103
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,219,438,103,574, is 1.
Now, the common factors can be found like this.
751:751
219:3x 73
438:2x 3x 73
103:103
574:2x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 73 = 438
Therefore, the value for common factors is 438.
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 = 4258996463484/(1x438)
LCM = 4258996463484/438
LCM = 9723736218
Thus, we can understand that the LCM of 751,219,438,103,574 is 9723736218.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 751, 219, 438, 103, 574?
Answer: LCM of 751, 219, 438, 103, 574 is 9723736218.
2. How to calculate the LCM of 751, 219, 438, 103, 574?
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 751, 219, 438, 103, 574.
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}.