Find the LCM of 342, 110, 624, 562, 319 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, 110, 624, 562, 319. So, keep reading to learn more.
Given numbers are 342,110,624,562,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,110,624,562,319 is 15941399760.
Find LCM of 342,110,624,562,319 with Prime Factorization
2 | 342, 110, 624, 562, 319 |
3 | 171, 55, 312, 281, 319 |
11 | 57, 55, 104, 281, 319 |
57, 5, 104, 281, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 57 x 5 x 104 x 281 x 29 = 15941399760
Therefore, the lowest common multiple of 342,110,624,562,319 is 15941399760.
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 110 x 624 x 562 x 319 = 4208529536640
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
110 : 1, 2, 5, 10, 11, 22, 55, 110
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
562 : 1, 2, 281, 562
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,110,624,562,319, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
110:2x 5x 11
624:2x 2x 2x 2x 3x 13
562:2x 281
319:11x 29
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 11 = 264
Therefore, the value for common factors is 264.
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 = 4208529536640/(1x264)
LCM = 4208529536640/264
LCM = 15941399760
Thus, we can understand that the LCM of 342,110,624,562,319 is 15941399760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 342, 110, 624, 562, 319?
Answer: LCM of 342, 110, 624, 562, 319 is 15941399760.
2. How to calculate the LCM of 342, 110, 624, 562, 319?
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, 110, 624, 562, 319.
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}.