Find the LCM of 105, 749, 740, 631 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 105, 749, 740, 631. So, keep reading to learn more.
Given numbers are 105,749,740,631
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,749,740,631 is 1049214180.
Find LCM of 105,749,740,631 with Prime Factorization
5 | 105, 749, 740, 631 |
7 | 21, 749, 148, 631 |
3, 107, 148, 631 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 3 x 107 x 148 x 631 = 1049214180
Therefore, the lowest common multiple of 105,749,740,631 is 1049214180.
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.
105 x 749 x 740 x 631 = 36722496300
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
749 : 1, 7, 107, 749
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
631 : 1, 631
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,749,740,631, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
749:7x 107
740:2x 2x 5x 37
631:631
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7 = 35
Therefore, the value for common factors is 35.
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 = 36722496300/(1x35)
LCM = 36722496300/35
LCM = 1049214180
Thus, we can understand that the LCM of 105,749,740,631 is 1049214180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 749, 740, 631?
Answer: LCM of 105, 749, 740, 631 is 1049214180.
2. How to calculate the LCM of 105, 749, 740, 631?
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 105, 749, 740, 631.
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}.