Find the LCM of 709, 533, 205, 279 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, 533, 205, 279. So, keep reading to learn more.
Given numbers are 709,533,205,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,533,205,279 is 527166315.
Find LCM of 709,533,205,279 with Prime Factorization
41 | 709, 533, 205, 279 |
709, 13, 5, 279 |
Multiply the prime numbers at the bottom and the left side.
41 x 709 x 13 x 5 x 279 = 527166315
Therefore, the lowest common multiple of 709,533,205,279 is 527166315.
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 533 x 205 x 279 = 21613818915
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
533 : 1, 13, 41, 533
205 : 1, 5, 41, 205
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,533,205,279, is 1.
Now, the common factors can be found like this.
709:709
533:13x 41
205:5x 41
279:3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41 = 41
Therefore, the value for common factors is 41.
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 = 21613818915/(1x41)
LCM = 21613818915/41
LCM = 527166315
Thus, we can understand that the LCM of 709,533,205,279 is 527166315.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 533, 205, 279?
Answer: LCM of 709, 533, 205, 279 is 527166315.
2. How to calculate the LCM of 709, 533, 205, 279?
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, 533, 205, 279.
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}.