Find the LCM of 894, 725, 957, 435 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 894, 725, 957, 435. So, keep reading to learn more.
Given numbers are 894,725,957,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,725,957,435 is 7129650.
Find LCM of 894,725,957,435 with Prime Factorization
3 | 894, 725, 957, 435 |
5 | 298, 725, 319, 145 |
29 | 298, 29, 319, 145 |
298, 1, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 29 x 298 x 1 x 11 x 5 = 7129650
Therefore, the lowest common multiple of 894,725,957,435 is 7129650.
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.
894 x 725 x 957 x 435 = 269821604250
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
725 : 1, 5, 25, 29, 145, 725
957 : 1, 3, 11, 29, 33, 87, 319, 957
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,725,957,435, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
725:5x 5x 29
957:3x 11x 29
435:3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 29x 29 = 37845
Therefore, the value for common factors is 37845.
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 = 269821604250/(1x37845)
LCM = 269821604250/37845
LCM = 7129650
Thus, we can understand that the LCM of 894,725,957,435 is 7129650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 894, 725, 957, 435?
Answer: LCM of 894, 725, 957, 435 is 7129650.
2. How to calculate the LCM of 894, 725, 957, 435?
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 894, 725, 957, 435.
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}.