Find the LCM of 127, 772, 714, 305, 833 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 127, 772, 714, 305, 833. So, keep reading to learn more.
Given numbers are 127,772,714,305,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,772,714,305,833 is 74728646580.
Find LCM of 127,772,714,305,833 with Prime Factorization
2 | 127, 772, 714, 305, 833 |
7 | 127, 386, 357, 305, 833 |
17 | 127, 386, 51, 305, 119 |
127, 386, 3, 305, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 127 x 386 x 3 x 305 x 7 = 74728646580
Therefore, the lowest common multiple of 127,772,714,305,833 is 74728646580.
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.
127 x 772 x 714 x 305 x 833 = 17785417886040
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.
127 : 1, 127
772 : 1, 2, 4, 193, 386, 772
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
305 : 1, 5, 61, 305
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,772,714,305,833, is 1.
Now, the common factors can be found like this.
127:127
772:2x 2x 193
714:2x 3x 7x 17
305:5x 61
833:7x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17 = 238
Therefore, the value for common factors is 238.
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 = 17785417886040/(1x238)
LCM = 17785417886040/238
LCM = 74728646580
Thus, we can understand that the LCM of 127,772,714,305,833 is 74728646580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 127, 772, 714, 305, 833?
Answer: LCM of 127, 772, 714, 305, 833 is 74728646580.
2. How to calculate the LCM of 127, 772, 714, 305, 833?
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 127, 772, 714, 305, 833.
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}.