Find the LCM of 714, 297, 509, 726 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 714, 297, 509, 726. So, keep reading to learn more.
Given numbers are 714,297,509,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,297,509,726 is 395770914.
Find LCM of 714,297,509,726 with Prime Factorization
2 | 714, 297, 509, 726 |
3 | 357, 297, 509, 363 |
11 | 119, 99, 509, 121 |
119, 9, 509, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 119 x 9 x 509 x 11 = 395770914
Therefore, the lowest common multiple of 714,297,509,726 is 395770914.
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.
714 x 297 x 509 x 726 = 78362640972
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
297 : 1, 3, 9, 11, 27, 33, 99, 297
509 : 1, 509
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,297,509,726, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
297:3x 3x 3x 11
509:509
726:2x 3x 11x 11
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 11 = 198
Therefore, the value for common factors is 198.
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 = 78362640972/(1x198)
LCM = 78362640972/198
LCM = 395770914
Thus, we can understand that the LCM of 714,297,509,726 is 395770914.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 714, 297, 509, 726?
Answer: LCM of 714, 297, 509, 726 is 395770914.
2. How to calculate the LCM of 714, 297, 509, 726?
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 714, 297, 509, 726.
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}.