Find the LCM of 747, 507, 211, 543, 867 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 747, 507, 211, 543, 867. So, keep reading to learn more.
Given numbers are 747,507,211,543,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,507,211,543,867 is 1393369113357.
Find LCM of 747,507,211,543,867 with Prime Factorization
3 | 747, 507, 211, 543, 867 |
249, 169, 211, 181, 289 |
Multiply the prime numbers at the bottom and the left side.
3 x 249 x 169 x 211 x 181 x 289 = 1393369113357
Therefore, the lowest common multiple of 747,507,211,543,867 is 1393369113357.
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.
747 x 507 x 211 x 543 x 867 = 37620966060639
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.
747 : 1, 3, 9, 83, 249, 747
507 : 1, 3, 13, 39, 169, 507
211 : 1, 211
543 : 1, 3, 181, 543
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,507,211,543,867, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
507:3x 13x 13
211:211
543:3x 181
867:3x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 37620966060639/(1x27)
LCM = 37620966060639/27
LCM = 1393369113357
Thus, we can understand that the LCM of 747,507,211,543,867 is 1393369113357.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 747, 507, 211, 543, 867?
Answer: LCM of 747, 507, 211, 543, 867 is 1393369113357.
2. How to calculate the LCM of 747, 507, 211, 543, 867?
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 747, 507, 211, 543, 867.
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}.