Find the LCM of 973, 406, 507, 879 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 973, 406, 507, 879. So, keep reading to learn more.
Given numbers are 973,406,507,879
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,406,507,879 is 8383327134.
Find LCM of 973,406,507,879 with Prime Factorization
3 | 973, 406, 507, 879 |
7 | 973, 406, 169, 293 |
139, 58, 169, 293 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 139 x 58 x 169 x 293 = 8383327134
Therefore, the lowest common multiple of 973,406,507,879 is 8383327134.
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.
973 x 406 x 507 x 879 = 176049869814
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.
973 : 1, 7, 139, 973
406 : 1, 2, 7, 14, 29, 58, 203, 406
507 : 1, 3, 13, 39, 169, 507
879 : 1, 3, 293, 879
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,406,507,879, is 1.
Now, the common factors can be found like this.
973:7x 139
406:2x 7x 29
507:3x 13x 13
879:3x 293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 176049869814/(1x21)
LCM = 176049869814/21
LCM = 8383327134
Thus, we can understand that the LCM of 973,406,507,879 is 8383327134.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 973, 406, 507, 879?
Answer: LCM of 973, 406, 507, 879 is 8383327134.
2. How to calculate the LCM of 973, 406, 507, 879?
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 973, 406, 507, 879.
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}.