Find the LCM of 785, 275, 961, 432 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 785, 275, 961, 432. So, keep reading to learn more.
Given numbers are 785,275,961,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,275,961,432 is 17924187600.
Find LCM of 785,275,961,432 with Prime Factorization
5 | 785, 275, 961, 432 |
157, 55, 961, 432 |
Multiply the prime numbers at the bottom and the left side.
5 x 157 x 55 x 961 x 432 = 17924187600
Therefore, the lowest common multiple of 785,275,961,432 is 17924187600.
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.
785 x 275 x 961 x 432 = 89620938000
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.
785 : 1, 5, 157, 785
275 : 1, 5, 11, 25, 55, 275
961 : 1, 31, 961
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,275,961,432, is 1.
Now, the common factors can be found like this.
785:5x 157
275:5x 5x 11
961:31x 31
432:2x 2x 2x 2x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 89620938000/(1x5)
LCM = 89620938000/5
LCM = 17924187600
Thus, we can understand that the LCM of 785,275,961,432 is 17924187600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 275, 961, 432?
Answer: LCM of 785, 275, 961, 432 is 17924187600.
2. How to calculate the LCM of 785, 275, 961, 432?
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 785, 275, 961, 432.
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}.