Find the LCM of 864, 342, 779, 357, 615 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 864, 342, 779, 357, 615. So, keep reading to learn more.
Given numbers are 864,342,779,357,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,342,779,357,615 is 400468320.
Find LCM of 864,342,779,357,615 with Prime Factorization
2 | 864, 342, 779, 357, 615 |
3 | 432, 171, 779, 357, 615 |
3 | 144, 57, 779, 119, 205 |
19 | 48, 19, 779, 119, 205 |
41 | 48, 1, 41, 119, 205 |
48, 1, 1, 119, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 41 x 48 x 1 x 1 x 119 x 5 = 400468320
Therefore, the lowest common multiple of 864,342,779,357,615 is 400468320.
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.
864 x 342 x 779 x 357 x 615 = 50538301047360
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.
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
779 : 1, 19, 41, 779
357 : 1, 3, 7, 17, 21, 51, 119, 357
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,342,779,357,615, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
342:2x 3x 3x 19
779:19x 41
357:3x 7x 17
615:3x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 19x 41 = 126198
Therefore, the value for common factors is 126198.
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 = 50538301047360/(1x126198)
LCM = 50538301047360/126198
LCM = 400468320
Thus, we can understand that the LCM of 864,342,779,357,615 is 400468320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 864, 342, 779, 357, 615?
Answer: LCM of 864, 342, 779, 357, 615 is 400468320.
2. How to calculate the LCM of 864, 342, 779, 357, 615?
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 864, 342, 779, 357, 615.
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}.