LCM of 392, 540, 460, 446, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 540, 460, 446, 752 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 392, 540, 460, 446, 752. So, keep reading to learn more.
Given numbers are 392,540,460,446,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,540,460,446,752 is 25514107920.
Find LCM of 392,540,460,446,752 with Prime Factorization
| 2 | 392, 540, 460, 446, 752 |
| 2 | 196, 270, 230, 223, 376 |
| 2 | 98, 135, 115, 223, 188 |
| 5 | 49, 135, 115, 223, 94 |
| 49, 27, 23, 223, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 49 x 27 x 23 x 223 x 94 = 25514107920
Therefore, the lowest common multiple of 392,540,460,446,752 is 25514107920.
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.
392 x 540 x 460 x 446 x 752 = 32658058137600
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
446 : 1, 2, 223, 446
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,540,460,446,752, is 2.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
540:2x 2x 3x 3x 3x 5
460:2x 2x 5x 23
446:2x 223
752:2x 2x 2x 2x 47
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 2x 5 = 640
Therefore, the value for common factors is 640.
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 = 32658058137600/(2x640)
LCM = 32658058137600/1280
LCM = 25514107920
Thus, we can understand that the LCM of 392,540,460,446,752 is 25514107920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 392, 540, 460, 446, 752
1. What is the LCM of 392, 540, 460, 446, 752?
Answer: LCM of 392, 540, 460, 446, 752 is 25514107920.
2. How to calculate the LCM of 392, 540, 460, 446, 752?
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 392, 540, 460, 446, 752.
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}.