LCM of 715, 364, 685, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 364, 685, 438 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 715, 364, 685, 438. So, keep reading to learn more.
Given numbers are 715,364,685,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,364,685,438 is 600660060.
Find LCM of 715,364,685,438 with Prime Factorization
| 2 | 715, 364, 685, 438 |
| 5 | 715, 182, 685, 219 |
| 13 | 143, 182, 137, 219 |
| 11, 14, 137, 219 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 11 x 14 x 137 x 219 = 600660060
Therefore, the lowest common multiple of 715,364,685,438 is 600660060.
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.
715 x 364 x 685 x 438 = 78085807800
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
685 : 1, 5, 137, 685
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,364,685,438, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
364:2x 2x 7x 13
685:5x 137
438:2x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 78085807800/(1x130)
LCM = 78085807800/130
LCM = 600660060
Thus, we can understand that the LCM of 715,364,685,438 is 600660060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 715, 364, 685, 438
1. What is the LCM of 715, 364, 685, 438?
Answer: LCM of 715, 364, 685, 438 is 600660060.
2. How to calculate the LCM of 715, 364, 685, 438?
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 715, 364, 685, 438.
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}.