Find the LCM of 227, 420, 681, 606, 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 227, 420, 681, 606, 594. So, keep reading to learn more.
Given numbers are 227,420,681,606,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,420,681,606,594 is 953304660.
Find LCM of 227,420,681,606,594 with Prime Factorization
2 | 227, 420, 681, 606, 594 |
3 | 227, 210, 681, 303, 297 |
227 | 227, 70, 227, 101, 99 |
1, 70, 1, 101, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 1 x 70 x 1 x 101 x 99 = 953304660
Therefore, the lowest common multiple of 227,420,681,606,594 is 953304660.
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.
227 x 420 x 681 x 606 x 594 = 23371217044560
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.
227 : 1, 227
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
681 : 1, 3, 227, 681
606 : 1, 2, 3, 6, 101, 202, 303, 606
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 227,420,681,606,594, is 1.
Now, the common factors can be found like this.
227:227
420:2x 2x 3x 5x 7
681:3x 227
606:2x 3x 101
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 3x 3x 3x 227 = 24516
Therefore, the value for common factors is 24516.
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 = 23371217044560/(1x24516)
LCM = 23371217044560/24516
LCM = 953304660
Thus, we can understand that the LCM of 227,420,681,606,594 is 953304660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 420, 681, 606, 594?
Answer: LCM of 227, 420, 681, 606, 594 is 953304660.
2. How to calculate the LCM of 227, 420, 681, 606, 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 227, 420, 681, 606, 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}.