Find the LCM of 107, 894, 675, 675, 370 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 107, 894, 675, 675, 370. So, keep reading to learn more.
Given numbers are 107,894,675,675,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,894,675,675,370 is 796352850.
Find LCM of 107,894,675,675,370 with Prime Factorization
2 | 107, 894, 675, 675, 370 |
3 | 107, 447, 675, 675, 185 |
3 | 107, 149, 225, 225, 185 |
3 | 107, 149, 75, 75, 185 |
5 | 107, 149, 25, 25, 185 |
5 | 107, 149, 5, 5, 37 |
107, 149, 1, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 5 x 107 x 149 x 1 x 1 x 37 = 796352850
Therefore, the lowest common multiple of 107,894,675,675,370 is 796352850.
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.
107 x 894 x 675 x 675 x 370 = 16126145212500
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.
107 : 1, 107
894 : 1, 2, 3, 6, 149, 298, 447, 894
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
370 : 1, 2, 5, 10, 37, 74, 185, 370
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,894,675,675,370, is 1.
Now, the common factors can be found like this.
107:107
894:2x 3x 149
675:3x 3x 3x 5x 5
675:3x 3x 3x 5x 5
370:2x 5x 37
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 3x 5x 5x 5 = 20250
Therefore, the value for common factors is 20250.
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 = 16126145212500/(1x20250)
LCM = 16126145212500/20250
LCM = 796352850
Thus, we can understand that the LCM of 107,894,675,675,370 is 796352850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 894, 675, 675, 370?
Answer: LCM of 107, 894, 675, 675, 370 is 796352850.
2. How to calculate the LCM of 107, 894, 675, 675, 370?
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 107, 894, 675, 675, 370.
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}.