Find the LCM of 685, 224, 349, 862, 519 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 685, 224, 349, 862, 519. So, keep reading to learn more.
Given numbers are 685,224,349,862,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,224,349,862,519 is 11978671215840.
Find LCM of 685,224,349,862,519 with Prime Factorization
2 | 685, 224, 349, 862, 519 |
685, 112, 349, 431, 519 |
Multiply the prime numbers at the bottom and the left side.
2 x 685 x 112 x 349 x 431 x 519 = 11978671215840
Therefore, the lowest common multiple of 685,224,349,862,519 is 11978671215840.
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.
685 x 224 x 349 x 862 x 519 = 23957342431680
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.
685 : 1, 5, 137, 685
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
349 : 1, 349
862 : 1, 2, 431, 862
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,224,349,862,519, is 1.
Now, the common factors can be found like this.
685:5x 137
224:2x 2x 2x 2x 2x 7
349:349
862:2x 431
519:3x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 23957342431680/(1x2)
LCM = 23957342431680/2
LCM = 11978671215840
Thus, we can understand that the LCM of 685,224,349,862,519 is 11978671215840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 685, 224, 349, 862, 519?
Answer: LCM of 685, 224, 349, 862, 519 is 11978671215840.
2. How to calculate the LCM of 685, 224, 349, 862, 519?
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 685, 224, 349, 862, 519.
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}.