Find the LCM of 251, 776, 380, 695, 715 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 251, 776, 380, 695, 715. So, keep reading to learn more.
Given numbers are 251,776,380,695,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,776,380,695,715 is 367798442440.
Find LCM of 251,776,380,695,715 with Prime Factorization
2 | 251, 776, 380, 695, 715 |
2 | 251, 388, 190, 695, 715 |
5 | 251, 194, 95, 695, 715 |
251, 194, 19, 139, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 251 x 194 x 19 x 139 x 143 = 367798442440
Therefore, the lowest common multiple of 251,776,380,695,715 is 367798442440.
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.
251 x 776 x 380 x 695 x 715 = 36779844244000
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.
251 : 1, 251
776 : 1, 2, 4, 8, 97, 194, 388, 776
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
695 : 1, 5, 139, 695
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,776,380,695,715, is 1.
Now, the common factors can be found like this.
251:251
776:2x 2x 2x 97
380:2x 2x 5x 19
695:5x 139
715:5x 11x 13
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 36779844244000/(1x100)
LCM = 36779844244000/100
LCM = 367798442440
Thus, we can understand that the LCM of 251,776,380,695,715 is 367798442440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 251, 776, 380, 695, 715?
Answer: LCM of 251, 776, 380, 695, 715 is 367798442440.
2. How to calculate the LCM of 251, 776, 380, 695, 715?
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 251, 776, 380, 695, 715.
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}.