Find the LCM of 930, 140, 635, 111 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 930, 140, 635, 111. So, keep reading to learn more.
Given numbers are 930,140,635,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,140,635,111 is 61180980.
Find LCM of 930,140,635,111 with Prime Factorization
2 | 930, 140, 635, 111 |
3 | 465, 70, 635, 111 |
5 | 155, 70, 635, 37 |
31, 14, 127, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 14 x 127 x 37 = 61180980
Therefore, the lowest common multiple of 930,140,635,111 is 61180980.
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.
930 x 140 x 635 x 111 = 9177147000
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
635 : 1, 5, 127, 635
111 : 1, 3, 37, 111
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,140,635,111, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
140:2x 2x 5x 7
635:5x 127
111:3x 37
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 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 9177147000/(1x150)
LCM = 9177147000/150
LCM = 61180980
Thus, we can understand that the LCM of 930,140,635,111 is 61180980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 930, 140, 635, 111?
Answer: LCM of 930, 140, 635, 111 is 61180980.
2. How to calculate the LCM of 930, 140, 635, 111?
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 930, 140, 635, 111.
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}.