LCM of 615, 481, 444, 771, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 481, 444, 771, 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 615, 481, 444, 771, 785. So, keep reading to learn more.
Given numbers are 615,481,444,771,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,481,444,771,785 is 47743357740.
Find LCM of 615,481,444,771,785 with Prime Factorization
| 3 | 615, 481, 444, 771, 785 |
| 5 | 205, 481, 148, 257, 785 |
| 37 | 41, 481, 148, 257, 157 |
| 41, 13, 4, 257, 157 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 37 x 41 x 13 x 4 x 257 x 157 = 47743357740
Therefore, the lowest common multiple of 615,481,444,771,785 is 47743357740.
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.
615 x 481 x 444 x 771 x 785 = 79492690637100
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
481 : 1, 13, 37, 481
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
771 : 1, 3, 257, 771
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,481,444,771,785, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
481:13x 37
444:2x 2x 3x 37
771:3x 257
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.
3x 3x 5x 37 = 1665
Therefore, the value for common factors is 1665.
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 = 79492690637100/(1x1665)
LCM = 79492690637100/1665
LCM = 47743357740
Thus, we can understand that the LCM of 615,481,444,771,785 is 47743357740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 615, 481, 444, 771, 785
1. What is the LCM of 615, 481, 444, 771, 785?
Answer: LCM of 615, 481, 444, 771, 785 is 47743357740.
2. How to calculate the LCM of 615, 481, 444, 771, 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 615, 481, 444, 771, 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}.