Find the LCM of 208, 312, 312, 692 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 208, 312, 312, 692. So, keep reading to learn more.
Given numbers are 208,312,312,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 208,312,312,692 is 107952.
Find LCM of 208,312,312,692 with Prime Factorization
2 | 208, 312, 312, 692 |
2 | 104, 156, 156, 346 |
2 | 52, 78, 78, 173 |
3 | 26, 39, 39, 173 |
13 | 26, 13, 13, 173 |
2, 1, 1, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 2 x 1 x 1 x 173 = 107952
Therefore, the lowest common multiple of 208,312,312,692 is 107952.
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.
208 x 312 x 312 x 692 = 14011305984
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.
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
692 : 1, 2, 4, 173, 346, 692
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,312,312,692, is 4.
Now, the common factors can be found like this.
208:2x 2x 2x 2x 13
312:2x 2x 2x 3x 13
312:2x 2x 2x 3x 13
692:2x 2x 173
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 2x 2x 2x 3x 13x 13 = 32448
Therefore, the value for common factors is 32448.
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 = 14011305984/(4x32448)
LCM = 14011305984/129792
LCM = 107952
Thus, we can understand that the LCM of 208,312,312,692 is 107952.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 208, 312, 312, 692?
Answer: LCM of 208, 312, 312, 692 is 107952.
2. How to calculate the LCM of 208, 312, 312, 692?
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 208, 312, 312, 692.
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}.