Find the LCM of 937, 670, 871, 469 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 937, 670, 871, 469. So, keep reading to learn more.
Given numbers are 937,670,871,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,670,871,469 is 57128890.
Find LCM of 937,670,871,469 with Prime Factorization
67 | 937, 670, 871, 469 |
937, 10, 13, 7 |
Multiply the prime numbers at the bottom and the left side.
67 x 937 x 10 x 13 x 7 = 57128890
Therefore, the lowest common multiple of 937,670,871,469 is 57128890.
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.
937 x 670 x 871 x 469 = 256451587210
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.
937 : 1, 937
670 : 1, 2, 5, 10, 67, 134, 335, 670
871 : 1, 13, 67, 871
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,670,871,469, is 1.
Now, the common factors can be found like this.
937:937
670:2x 5x 67
871:13x 67
469:7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
67x 67 = 4489
Therefore, the value for common factors is 4489.
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 = 256451587210/(1x4489)
LCM = 256451587210/4489
LCM = 57128890
Thus, we can understand that the LCM of 937,670,871,469 is 57128890.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 937, 670, 871, 469?
Answer: LCM of 937, 670, 871, 469 is 57128890.
2. How to calculate the LCM of 937, 670, 871, 469?
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 937, 670, 871, 469.
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}.