Find the LCM of 701, 744, 109, 961 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, 744, 109, 961. So, keep reading to learn more.
Given numbers are 701,744,109,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,744,109,961 is 1762297176.
Find LCM of 701,744,109,961 with Prime Factorization
31 | 701, 744, 109, 961 |
701, 24, 109, 31 |
Multiply the prime numbers at the bottom and the left side.
31 x 701 x 24 x 109 x 31 = 1762297176
Therefore, the lowest common multiple of 701,744,109,961 is 1762297176.
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 744 x 109 x 961 = 54631212456
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
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
109 : 1, 109
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,744,109,961, is 1.
Now, the common factors can be found like this.
701:701
744:2x 2x 2x 3x 31
109:109
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31 = 31
Therefore, the value for common factors is 31.
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 = 54631212456/(1x31)
LCM = 54631212456/31
LCM = 1762297176
Thus, we can understand that the LCM of 701,744,109,961 is 1762297176.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 701, 744, 109, 961?
Answer: LCM of 701, 744, 109, 961 is 1762297176.
2. How to calculate the LCM of 701, 744, 109, 961?
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, 744, 109, 961.
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}.