LCM of 444, 286, 772, 697, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 444, 286, 772, 697, 935 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 444, 286, 772, 697, 935. So, keep reading to learn more.
Given numbers are 444,286,772,697,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,286,772,697,935 is 42705036660.
Find LCM of 444,286,772,697,935 with Prime Factorization
| 2 | 444, 286, 772, 697, 935 |
| 2 | 222, 143, 386, 697, 935 |
| 11 | 111, 143, 193, 697, 935 |
| 17 | 111, 13, 193, 697, 85 |
| 111, 13, 193, 41, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 111 x 13 x 193 x 41 x 5 = 42705036660
Therefore, the lowest common multiple of 444,286,772,697,935 is 42705036660.
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.
444 x 286 x 772 x 697 x 935 = 63886734843360
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.
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
286 : 1, 2, 11, 13, 22, 26, 143, 286
772 : 1, 2, 4, 193, 386, 772
697 : 1, 17, 41, 697
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,286,772,697,935, is 1.
Now, the common factors can be found like this.
444:2x 2x 3x 37
286:2x 11x 13
772:2x 2x 193
697:17x 41
935:5x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 11x 17 = 1496
Therefore, the value for common factors is 1496.
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 = 63886734843360/(1x1496)
LCM = 63886734843360/1496
LCM = 42705036660
Thus, we can understand that the LCM of 444,286,772,697,935 is 42705036660.
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FAQs on LCM of 444, 286, 772, 697, 935
1. What is the LCM of 444, 286, 772, 697, 935?
Answer: LCM of 444, 286, 772, 697, 935 is 42705036660.
2. How to calculate the LCM of 444, 286, 772, 697, 935?
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 444, 286, 772, 697, 935.
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}.