Find the LCM of 561, 240, 598, 410, 612 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 561, 240, 598, 410, 612. So, keep reading to learn more.
Given numbers are 561,240,598,410,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,240,598,410,612 is 1650551760.
Find LCM of 561,240,598,410,612 with Prime Factorization
2 | 561, 240, 598, 410, 612 |
2 | 561, 120, 299, 205, 306 |
3 | 561, 60, 299, 205, 153 |
5 | 187, 20, 299, 205, 51 |
17 | 187, 4, 299, 41, 51 |
11, 4, 299, 41, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 11 x 4 x 299 x 41 x 3 = 1650551760
Therefore, the lowest common multiple of 561,240,598,410,612 is 1650551760.
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.
561 x 240 x 598 x 410 x 612 = 20202753542400
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
598 : 1, 2, 13, 23, 26, 46, 299, 598
410 : 1, 2, 5, 10, 41, 82, 205, 410
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,240,598,410,612, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
240:2x 2x 2x 2x 3x 5
598:2x 13x 23
410:2x 5x 41
612:2x 2x 3x 3x 17
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 2x 3x 3x 5x 17 = 12240
Therefore, the value for common factors is 12240.
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 = 20202753542400/(1x12240)
LCM = 20202753542400/12240
LCM = 1650551760
Thus, we can understand that the LCM of 561,240,598,410,612 is 1650551760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 240, 598, 410, 612?
Answer: LCM of 561, 240, 598, 410, 612 is 1650551760.
2. How to calculate the LCM of 561, 240, 598, 410, 612?
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 561, 240, 598, 410, 612.
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}.