Find the LCM of 444, 749, 321, 763 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 444, 749, 321, 763. So, keep reading to learn more.
Given numbers are 444,749,321,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,749,321,763 is 36248604.
Find LCM of 444,749,321,763 with Prime Factorization
3 | 444, 749, 321, 763 |
7 | 148, 749, 107, 763 |
107 | 148, 107, 107, 109 |
148, 1, 1, 109 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 107 x 148 x 1 x 1 x 109 = 36248604
Therefore, the lowest common multiple of 444,749,321,763 is 36248604.
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.
444 x 749 x 321 x 763 = 81450613188
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.
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
749 : 1, 7, 107, 749
321 : 1, 3, 107, 321
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,749,321,763, is 1.
Now, the common factors can be found like this.
444:2x 2x 3x 37
749:7x 107
321:3x 107
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 107 = 2247
Therefore, the value for common factors is 2247.
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 = 81450613188/(1x2247)
LCM = 81450613188/2247
LCM = 36248604
Thus, we can understand that the LCM of 444,749,321,763 is 36248604.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 444, 749, 321, 763?
Answer: LCM of 444, 749, 321, 763 is 36248604.
2. How to calculate the LCM of 444, 749, 321, 763?
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 444, 749, 321, 763.
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}.