Find the LCM of 920, 705, 320, 404, 418 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 920, 705, 320, 404, 418. So, keep reading to learn more.
Given numbers are 920,705,320,404,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,705,320,404,418 is 21906075840.
Find LCM of 920,705,320,404,418 with Prime Factorization
2 | 920, 705, 320, 404, 418 |
2 | 460, 705, 160, 202, 209 |
2 | 230, 705, 80, 101, 209 |
5 | 115, 705, 40, 101, 209 |
23, 141, 8, 101, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 23 x 141 x 8 x 101 x 209 = 21906075840
Therefore, the lowest common multiple of 920,705,320,404,418 is 21906075840.
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.
920 x 705 x 320 x 404 x 418 = 35049721344000
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
705 : 1, 3, 5, 15, 47, 141, 235, 705
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
404 : 1, 2, 4, 101, 202, 404
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,705,320,404,418, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
705:3x 5x 47
320:2x 2x 2x 2x 2x 2x 5
404:2x 2x 101
418:2x 11x 19
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 2x 2x 5x 5 = 1600
Therefore, the value for common factors is 1600.
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 = 35049721344000/(1x1600)
LCM = 35049721344000/1600
LCM = 21906075840
Thus, we can understand that the LCM of 920,705,320,404,418 is 21906075840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 920, 705, 320, 404, 418?
Answer: LCM of 920, 705, 320, 404, 418 is 21906075840.
2. How to calculate the LCM of 920, 705, 320, 404, 418?
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 920, 705, 320, 404, 418.
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}.