Find the LCM of 353, 689, 338, 208, 152 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 353, 689, 338, 208, 152. So, keep reading to learn more.
Given numbers are 353,689,338,208,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,689,338,208,152 is 961193584.
Find LCM of 353,689,338,208,152 with Prime Factorization
2 | 353, 689, 338, 208, 152 |
2 | 353, 689, 169, 104, 76 |
2 | 353, 689, 169, 52, 38 |
13 | 353, 689, 169, 26, 19 |
353, 53, 13, 2, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 353 x 53 x 13 x 2 x 19 = 961193584
Therefore, the lowest common multiple of 353,689,338,208,152 is 961193584.
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.
353 x 689 x 338 x 208 x 152 = 2599067451136
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.
353 : 1, 353
689 : 1, 13, 53, 689
338 : 1, 2, 13, 26, 169, 338
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,689,338,208,152, is 1.
Now, the common factors can be found like this.
353:353
689:13x 53
338:2x 13x 13
208:2x 2x 2x 2x 13
152:2x 2x 2x 19
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 13x 13 = 2704
Therefore, the value for common factors is 2704.
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 = 2599067451136/(1x2704)
LCM = 2599067451136/2704
LCM = 961193584
Thus, we can understand that the LCM of 353,689,338,208,152 is 961193584.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 353, 689, 338, 208, 152?
Answer: LCM of 353, 689, 338, 208, 152 is 961193584.
2. How to calculate the LCM of 353, 689, 338, 208, 152?
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 353, 689, 338, 208, 152.
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}.