Find the LCM of 701, 701, 949, 143, 271 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, 701, 949, 143, 271. So, keep reading to learn more.
Given numbers are 701,701,949,143,271
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,701,949,143,271 is 1983107269.
Find LCM of 701,701,949,143,271 with Prime Factorization
13 | 701, 701, 949, 143, 271 |
701 | 701, 701, 73, 11, 271 |
1, 1, 73, 11, 271 |
Multiply the prime numbers at the bottom and the left side.
13 x 701 x 1 x 1 x 73 x 11 x 271 = 1983107269
Therefore, the lowest common multiple of 701,701,949,143,271 is 1983107269.
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 701 x 949 x 143 x 271 = 18072056542397
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
701 : 1, 701
949 : 1, 13, 73, 949
143 : 1, 11, 13, 143
271 : 1, 271
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,701,949,143,271, is 1.
Now, the common factors can be found like this.
701:701
701:701
949:13x 73
143:11x 13
271:271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 701 = 9113
Therefore, the value for common factors is 9113.
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 = 18072056542397/(1x9113)
LCM = 18072056542397/9113
LCM = 1983107269
Thus, we can understand that the LCM of 701,701,949,143,271 is 1983107269.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 701, 701, 949, 143, 271?
Answer: LCM of 701, 701, 949, 143, 271 is 1983107269.
2. How to calculate the LCM of 701, 701, 949, 143, 271?
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, 701, 949, 143, 271.
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}.