Find the LCM of 701, 295, 649, 767 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 701, 295, 649, 767. So, keep reading to learn more.
Given numbers are 701,295,649,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,295,649,767 is 29571685.
Find LCM of 701,295,649,767 with Prime Factorization
59 | 701, 295, 649, 767 |
701, 5, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
59 x 701 x 5 x 11 x 13 = 29571685
Therefore, the lowest common multiple of 701,295,649,767 is 29571685.
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.
701 x 295 x 649 x 767 = 102939035485
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.
701 : 1, 701
295 : 1, 5, 59, 295
649 : 1, 11, 59, 649
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,295,649,767, is 1.
Now, the common factors can be found like this.
701:701
295:5x 59
649:11x 59
767:13x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
59x 59 = 3481
Therefore, the value for common factors is 3481.
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 = 102939035485/(1x3481)
LCM = 102939035485/3481
LCM = 29571685
Thus, we can understand that the LCM of 701,295,649,767 is 29571685.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 701, 295, 649, 767?
Answer: LCM of 701, 295, 649, 767 is 29571685.
2. How to calculate the LCM of 701, 295, 649, 767?
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 701, 295, 649, 767.
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}.