Find the LCM of 321, 440, 884, 803, 594 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 321, 440, 884, 803, 594. So, keep reading to learn more.
Given numbers are 321,440,884,803,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,440,884,803,594 is 20507624280.
Find LCM of 321,440,884,803,594 with Prime Factorization
2 | 321, 440, 884, 803, 594 |
2 | 321, 220, 442, 803, 297 |
3 | 321, 110, 221, 803, 297 |
11 | 107, 110, 221, 803, 99 |
107, 10, 221, 73, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 107 x 10 x 221 x 73 x 9 = 20507624280
Therefore, the lowest common multiple of 321,440,884,803,594 is 20507624280.
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.
321 x 440 x 884 x 803 x 594 = 59554140909120
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.
321 : 1, 3, 107, 321
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
803 : 1, 11, 73, 803
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,440,884,803,594, is 1.
Now, the common factors can be found like this.
321:3x 107
440:2x 2x 2x 5x 11
884:2x 2x 13x 17
803:11x 73
594:2x 3x 3x 3x 11
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 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 59554140909120/(1x2904)
LCM = 59554140909120/2904
LCM = 20507624280
Thus, we can understand that the LCM of 321,440,884,803,594 is 20507624280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 440, 884, 803, 594?
Answer: LCM of 321, 440, 884, 803, 594 is 20507624280.
2. How to calculate the LCM of 321, 440, 884, 803, 594?
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 321, 440, 884, 803, 594.
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}.