LCM of 285, 779, 369, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 285, 779, 369, 723 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 285, 779, 369, 723. So, keep reading to learn more.
Given numbers are 285,779,369,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,779,369,723 is 8448255.
Find LCM of 285,779,369,723 with Prime Factorization
| 3 | 285, 779, 369, 723 |
| 19 | 95, 779, 123, 241 |
| 41 | 5, 41, 123, 241 |
| 5, 1, 3, 241 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 41 x 5 x 1 x 3 x 241 = 8448255
Therefore, the lowest common multiple of 285,779,369,723 is 8448255.
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.
285 x 779 x 369 x 723 = 59230715805
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
779 : 1, 19, 41, 779
369 : 1, 3, 9, 41, 123, 369
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,779,369,723, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
779:19x 41
369:3x 3x 41
723:3x 241
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 19x 41 = 7011
Therefore, the value for common factors is 7011.
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 = 59230715805/(1x7011)
LCM = 59230715805/7011
LCM = 8448255
Thus, we can understand that the LCM of 285,779,369,723 is 8448255.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 285, 779, 369, 723
1. What is the LCM of 285, 779, 369, 723?
Answer: LCM of 285, 779, 369, 723 is 8448255.
2. How to calculate the LCM of 285, 779, 369, 723?
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 285, 779, 369, 723.
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}.