Find the LCM of 101, 703, 925, 672, 407 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 101, 703, 925, 672, 407. So, keep reading to learn more.
Given numbers are 101,703,925,672,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,703,925,672,407 is 13121354400.
Find LCM of 101,703,925,672,407 with Prime Factorization
37 | 101, 703, 925, 672, 407 |
101, 19, 25, 672, 11 |
Multiply the prime numbers at the bottom and the left side.
37 x 101 x 19 x 25 x 672 x 11 = 13121354400
Therefore, the lowest common multiple of 101,703,925,672,407 is 13121354400.
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.
101 x 703 x 925 x 672 x 407 = 17963134173600
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.
101 : 1, 101
703 : 1, 19, 37, 703
925 : 1, 5, 25, 37, 185, 925
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,703,925,672,407, is 1.
Now, the common factors can be found like this.
101:101
703:19x 37
925:5x 5x 37
672:2x 2x 2x 2x 2x 3x 7
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
37x 37 = 1369
Therefore, the value for common factors is 1369.
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 = 17963134173600/(1x1369)
LCM = 17963134173600/1369
LCM = 13121354400
Thus, we can understand that the LCM of 101,703,925,672,407 is 13121354400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 101, 703, 925, 672, 407?
Answer: LCM of 101, 703, 925, 672, 407 is 13121354400.
2. How to calculate the LCM of 101, 703, 925, 672, 407?
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 101, 703, 925, 672, 407.
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}.