Find the LCM of 514, 611, 141, 372, 685 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 514, 611, 141, 372, 685. So, keep reading to learn more.
Given numbers are 514,611,141,372,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,611,141,372,685 is 40013620140.
Find LCM of 514,611,141,372,685 with Prime Factorization
2 | 514, 611, 141, 372, 685 |
3 | 257, 611, 141, 186, 685 |
47 | 257, 611, 47, 62, 685 |
257, 13, 1, 62, 685 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 257 x 13 x 1 x 62 x 685 = 40013620140
Therefore, the lowest common multiple of 514,611,141,372,685 is 40013620140.
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.
514 x 611 x 141 x 372 x 685 = 11283840879480
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.
514 : 1, 2, 257, 514
611 : 1, 13, 47, 611
141 : 1, 3, 47, 141
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,611,141,372,685, is 1.
Now, the common factors can be found like this.
514:2x 257
611:13x 47
141:3x 47
372:2x 2x 3x 31
685:5x 137
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 47 = 282
Therefore, the value for common factors is 282.
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 = 11283840879480/(1x282)
LCM = 11283840879480/282
LCM = 40013620140
Thus, we can understand that the LCM of 514,611,141,372,685 is 40013620140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 514, 611, 141, 372, 685?
Answer: LCM of 514, 611, 141, 372, 685 is 40013620140.
2. How to calculate the LCM of 514, 611, 141, 372, 685?
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 514, 611, 141, 372, 685.
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}.