Find the LCM of 709, 327, 918, 684 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 709, 327, 918, 684. So, keep reading to learn more.
Given numbers are 709,327,918,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,327,918,684 is 2695870404.
Find LCM of 709,327,918,684 with Prime Factorization
2 | 709, 327, 918, 684 |
3 | 709, 327, 459, 342 |
3 | 709, 109, 153, 114 |
709, 109, 51, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 709 x 109 x 51 x 38 = 2695870404
Therefore, the lowest common multiple of 709,327,918,684 is 2695870404.
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.
709 x 327 x 918 x 684 = 145577001816
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.
709 : 1, 709
327 : 1, 3, 109, 327
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,327,918,684, is 1.
Now, the common factors can be found like this.
709:709
327:3x 109
918:2x 3x 3x 3x 17
684:2x 2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 145577001816/(1x54)
LCM = 145577001816/54
LCM = 2695870404
Thus, we can understand that the LCM of 709,327,918,684 is 2695870404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 327, 918, 684?
Answer: LCM of 709, 327, 918, 684 is 2695870404.
2. How to calculate the LCM of 709, 327, 918, 684?
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 709, 327, 918, 684.
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}.