Find the LCM of 342, 806, 473, 533, 280 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 342, 806, 473, 533, 280. So, keep reading to learn more.
Given numbers are 342,806,473,533,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,806,473,533,280 is 374200346520.
Find LCM of 342,806,473,533,280 with Prime Factorization
2 | 342, 806, 473, 533, 280 |
13 | 171, 403, 473, 533, 140 |
171, 31, 473, 41, 140 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 171 x 31 x 473 x 41 x 140 = 374200346520
Therefore, the lowest common multiple of 342,806,473,533,280 is 374200346520.
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.
342 x 806 x 473 x 533 x 280 = 19458418019040
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
806 : 1, 2, 13, 26, 31, 62, 403, 806
473 : 1, 11, 43, 473
533 : 1, 13, 41, 533
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,806,473,533,280, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
806:2x 13x 31
473:11x 43
533:13x 41
280:2x 2x 2x 5x 7
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 13 = 52
Therefore, the value for common factors is 52.
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 = 19458418019040/(1x52)
LCM = 19458418019040/52
LCM = 374200346520
Thus, we can understand that the LCM of 342,806,473,533,280 is 374200346520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 342, 806, 473, 533, 280?
Answer: LCM of 342, 806, 473, 533, 280 is 374200346520.
2. How to calculate the LCM of 342, 806, 473, 533, 280?
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 342, 806, 473, 533, 280.
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}.