Find the LCM of 437, 690, 111, 342, 219 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 437, 690, 111, 342, 219. So, keep reading to learn more.
Given numbers are 437,690,111,342,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,690,111,342,219 is 106230330.
Find LCM of 437,690,111,342,219 with Prime Factorization
2 | 437, 690, 111, 342, 219 |
3 | 437, 345, 111, 171, 219 |
19 | 437, 115, 37, 57, 73 |
23 | 23, 115, 37, 3, 73 |
1, 5, 37, 3, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 23 x 1 x 5 x 37 x 3 x 73 = 106230330
Therefore, the lowest common multiple of 437,690,111,342,219 is 106230330.
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.
437 x 690 x 111 x 342 x 219 = 2506823327340
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.
437 : 1, 19, 23, 437
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
111 : 1, 3, 37, 111
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,690,111,342,219, is 1.
Now, the common factors can be found like this.
437:19x 23
690:2x 3x 5x 23
111:3x 37
342:2x 3x 3x 19
219:3x 73
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 3x 3x 19x 23 = 23598
Therefore, the value for common factors is 23598.
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 = 2506823327340/(1x23598)
LCM = 2506823327340/23598
LCM = 106230330
Thus, we can understand that the LCM of 437,690,111,342,219 is 106230330.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 437, 690, 111, 342, 219?
Answer: LCM of 437, 690, 111, 342, 219 is 106230330.
2. How to calculate the LCM of 437, 690, 111, 342, 219?
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 437, 690, 111, 342, 219.
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}.