Find the LCM of 437, 321, 968, 749 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 437, 321, 968, 749. So, keep reading to learn more.
Given numbers are 437,321,968,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,321,968,749 is 950516952.
Find LCM of 437,321,968,749 with Prime Factorization
107 | 437, 321, 968, 749 |
437, 3, 968, 7 |
Multiply the prime numbers at the bottom and the left side.
107 x 437 x 3 x 968 x 7 = 950516952
Therefore, the lowest common multiple of 437,321,968,749 is 950516952.
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.
437 x 321 x 968 x 749 = 101705313864
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.
437 : 1, 19, 23, 437
321 : 1, 3, 107, 321
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,321,968,749, is 1.
Now, the common factors can be found like this.
437:19x 23
321:3x 107
968:2x 2x 2x 11x 11
749:7x 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 = 101705313864/(1x107)
LCM = 101705313864/107
LCM = 950516952
Thus, we can understand that the LCM of 437,321,968,749 is 950516952.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 437, 321, 968, 749?
Answer: LCM of 437, 321, 968, 749 is 950516952.
2. How to calculate the LCM of 437, 321, 968, 749?
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 437, 321, 968, 749.
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}.