Find the LCM of 358, 240, 699, 615, 411 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 358, 240, 699, 615, 411. So, keep reading to learn more.
Given numbers are 358,240,699,615,411
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,240,699,615,411 is 56224372560.
Find LCM of 358,240,699,615,411 with Prime Factorization
2 | 358, 240, 699, 615, 411 |
3 | 179, 120, 699, 615, 411 |
5 | 179, 40, 233, 205, 137 |
179, 8, 233, 41, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 179 x 8 x 233 x 41 x 137 = 56224372560
Therefore, the lowest common multiple of 358,240,699,615,411 is 56224372560.
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.
358 x 240 x 699 x 615 x 411 = 15180580591200
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.
358 : 1, 2, 179, 358
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
699 : 1, 3, 233, 699
615 : 1, 3, 5, 15, 41, 123, 205, 615
411 : 1, 3, 137, 411
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,240,699,615,411, is 1.
Now, the common factors can be found like this.
358:2x 179
240:2x 2x 2x 2x 3x 5
699:3x 233
615:3x 5x 41
411:3x 137
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 5 = 270
Therefore, the value for common factors is 270.
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 = 15180580591200/(1x270)
LCM = 15180580591200/270
LCM = 56224372560
Thus, we can understand that the LCM of 358,240,699,615,411 is 56224372560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 358, 240, 699, 615, 411?
Answer: LCM of 358, 240, 699, 615, 411 is 56224372560.
2. How to calculate the LCM of 358, 240, 699, 615, 411?
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 358, 240, 699, 615, 411.
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}.