Find the LCM of 342, 549, 550, 144, 782 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, 549, 550, 144, 782. So, keep reading to learn more.
Given numbers are 342,549,550,144,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,549,550,144,782 is 17945492400.
Find LCM of 342,549,550,144,782 with Prime Factorization
2 | 342, 549, 550, 144, 782 |
3 | 171, 549, 275, 72, 391 |
3 | 57, 183, 275, 24, 391 |
19, 61, 275, 8, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 61 x 275 x 8 x 391 = 17945492400
Therefore, the lowest common multiple of 342,549,550,144,782 is 17945492400.
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 549 x 550 x 144 x 782 = 11628679075200
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
549 : 1, 3, 9, 61, 183, 549
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,549,550,144,782, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
549:3x 3x 61
550:2x 5x 5x 11
144:2x 2x 2x 2x 3x 3
782:2x 17x 23
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 2x 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 11628679075200/(1x648)
LCM = 11628679075200/648
LCM = 17945492400
Thus, we can understand that the LCM of 342,549,550,144,782 is 17945492400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 342, 549, 550, 144, 782?
Answer: LCM of 342, 549, 550, 144, 782 is 17945492400.
2. How to calculate the LCM of 342, 549, 550, 144, 782?
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, 549, 550, 144, 782.
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}.