Find the LCM of 474, 502, 280, 546, 895 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 474, 502, 280, 546, 895. So, keep reading to learn more.
Given numbers are 474,502,280,546,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,502,280,546,895 is 38759349720.
Find LCM of 474,502,280,546,895 with Prime Factorization
2 | 474, 502, 280, 546, 895 |
3 | 237, 251, 140, 273, 895 |
5 | 79, 251, 140, 91, 895 |
7 | 79, 251, 28, 91, 179 |
79, 251, 4, 13, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 79 x 251 x 4 x 13 x 179 = 38759349720
Therefore, the lowest common multiple of 474,502,280,546,895 is 38759349720.
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.
474 x 502 x 280 x 546 x 895 = 32557853764800
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
502 : 1, 2, 251, 502
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,502,280,546,895, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
502:2x 251
280:2x 2x 2x 5x 7
546:2x 3x 7x 13
895:5x 179
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 3x 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 32557853764800/(1x840)
LCM = 32557853764800/840
LCM = 38759349720
Thus, we can understand that the LCM of 474,502,280,546,895 is 38759349720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 474, 502, 280, 546, 895?
Answer: LCM of 474, 502, 280, 546, 895 is 38759349720.
2. How to calculate the LCM of 474, 502, 280, 546, 895?
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 474, 502, 280, 546, 895.
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}.