Find the LCM of 270, 389, 826, 705, 354 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 270, 389, 826, 705, 354. So, keep reading to learn more.
Given numbers are 270,389,826,705,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,389,826,705,354 is 2038737330.
Find LCM of 270,389,826,705,354 with Prime Factorization
2 | 270, 389, 826, 705, 354 |
3 | 135, 389, 413, 705, 177 |
5 | 45, 389, 413, 235, 59 |
59 | 9, 389, 413, 47, 59 |
9, 389, 7, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 59 x 9 x 389 x 7 x 47 x 1 = 2038737330
Therefore, the lowest common multiple of 270,389,826,705,354 is 2038737330.
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.
270 x 389 x 826 x 705 x 354 = 21651390444600
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.
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
389 : 1, 389
826 : 1, 2, 7, 14, 59, 118, 413, 826
705 : 1, 3, 5, 15, 47, 141, 235, 705
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,389,826,705,354, is 1.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
389:389
826:2x 7x 59
705:3x 5x 47
354:2x 3x 59
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 5x 59 = 10620
Therefore, the value for common factors is 10620.
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 = 21651390444600/(1x10620)
LCM = 21651390444600/10620
LCM = 2038737330
Thus, we can understand that the LCM of 270,389,826,705,354 is 2038737330.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 270, 389, 826, 705, 354?
Answer: LCM of 270, 389, 826, 705, 354 is 2038737330.
2. How to calculate the LCM of 270, 389, 826, 705, 354?
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 270, 389, 826, 705, 354.
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}.