Find the LCM of 441, 194, 680, 785, 785 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 441, 194, 680, 785, 785. So, keep reading to learn more.
Given numbers are 441,194,680,785,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,194,680,785,785 is 4566872520.
Find LCM of 441,194,680,785,785 with Prime Factorization
2 | 441, 194, 680, 785, 785 |
5 | 441, 97, 340, 785, 785 |
157 | 441, 97, 68, 157, 157 |
441, 97, 68, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 157 x 441 x 97 x 68 x 1 x 1 = 4566872520
Therefore, the lowest common multiple of 441,194,680,785,785 is 4566872520.
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.
441 x 194 x 680 x 785 x 785 = 35849949282000
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
194 : 1, 2, 97, 194
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
785 : 1, 5, 157, 785
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,194,680,785,785, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
194:2x 97
680:2x 2x 2x 5x 17
785:5x 157
785:5x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 157 = 7850
Therefore, the value for common factors is 7850.
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 = 35849949282000/(1x7850)
LCM = 35849949282000/7850
LCM = 4566872520
Thus, we can understand that the LCM of 441,194,680,785,785 is 4566872520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 441, 194, 680, 785, 785?
Answer: LCM of 441, 194, 680, 785, 785 is 4566872520.
2. How to calculate the LCM of 441, 194, 680, 785, 785?
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 441, 194, 680, 785, 785.
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}.