Find the LCM of 860, 148, 555, 938 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 860, 148, 555, 938. So, keep reading to learn more.
Given numbers are 860,148,555,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,148,555,938 is 44770740.
Find LCM of 860,148,555,938 with Prime Factorization
2 | 860, 148, 555, 938 |
2 | 430, 74, 555, 469 |
5 | 215, 37, 555, 469 |
37 | 43, 37, 111, 469 |
43, 1, 3, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 37 x 43 x 1 x 3 x 469 = 44770740
Therefore, the lowest common multiple of 860,148,555,938 is 44770740.
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.
860 x 148 x 555 x 938 = 66260695200
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
148 : 1, 2, 4, 37, 74, 148
555 : 1, 3, 5, 15, 37, 111, 185, 555
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,148,555,938, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
148:2x 2x 37
555:3x 5x 37
938:2x 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.
2x 2x 2x 5x 37 = 1480
Therefore, the value for common factors is 1480.
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 = 66260695200/(1x1480)
LCM = 66260695200/1480
LCM = 44770740
Thus, we can understand that the LCM of 860,148,555,938 is 44770740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 860, 148, 555, 938?
Answer: LCM of 860, 148, 555, 938 is 44770740.
2. How to calculate the LCM of 860, 148, 555, 938?
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 860, 148, 555, 938.
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}.