Find the LCM of 411, 341, 453, 572, 312 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 411, 341, 453, 572, 312. So, keep reading to learn more.
Given numbers are 411,341,453,572,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,341,453,572,312 is 2200931304.
Find LCM of 411,341,453,572,312 with Prime Factorization
2 | 411, 341, 453, 572, 312 |
2 | 411, 341, 453, 286, 156 |
3 | 411, 341, 453, 143, 78 |
11 | 137, 341, 151, 143, 26 |
13 | 137, 31, 151, 13, 26 |
137, 31, 151, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 137 x 31 x 151 x 1 x 2 = 2200931304
Therefore, the lowest common multiple of 411,341,453,572,312 is 2200931304.
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.
411 x 341 x 453 x 572 x 312 = 11330394352992
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.
411 : 1, 3, 137, 411
341 : 1, 11, 31, 341
453 : 1, 3, 151, 453
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,341,453,572,312, is 1.
Now, the common factors can be found like this.
411:3x 137
341:11x 31
453:3x 151
572:2x 2x 11x 13
312:2x 2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 11x 13 = 5148
Therefore, the value for common factors is 5148.
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 = 11330394352992/(1x5148)
LCM = 11330394352992/5148
LCM = 2200931304
Thus, we can understand that the LCM of 411,341,453,572,312 is 2200931304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 411, 341, 453, 572, 312?
Answer: LCM of 411, 341, 453, 572, 312 is 2200931304.
2. How to calculate the LCM of 411, 341, 453, 572, 312?
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 411, 341, 453, 572, 312.
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}.