Find the LCM of 936, 703, 725, 664, 208 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 936, 703, 725, 664, 208. So, keep reading to learn more.
Given numbers are 936,703,725,664,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,703,725,664,208 is 79191262800.
Find LCM of 936,703,725,664,208 with Prime Factorization
2 | 936, 703, 725, 664, 208 |
2 | 468, 703, 725, 332, 104 |
2 | 234, 703, 725, 166, 52 |
13 | 117, 703, 725, 83, 26 |
9, 703, 725, 83, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 9 x 703 x 725 x 83 x 2 = 79191262800
Therefore, the lowest common multiple of 936,703,725,664,208 is 79191262800.
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.
936 x 703 x 725 x 664 x 208 = 65887130649600
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
703 : 1, 19, 37, 703
725 : 1, 5, 25, 29, 145, 725
664 : 1, 2, 4, 8, 83, 166, 332, 664
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,703,725,664,208, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
703:19x 37
725:5x 5x 29
664:2x 2x 2x 83
208:2x 2x 2x 2x 13
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 13 = 832
Therefore, the value for common factors is 832.
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 = 65887130649600/(1x832)
LCM = 65887130649600/832
LCM = 79191262800
Thus, we can understand that the LCM of 936,703,725,664,208 is 79191262800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 936, 703, 725, 664, 208?
Answer: LCM of 936, 703, 725, 664, 208 is 79191262800.
2. How to calculate the LCM of 936, 703, 725, 664, 208?
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 936, 703, 725, 664, 208.
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}.