LCM of 715, 224, 315, 462, 478
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 224, 315, 462, 478 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 715, 224, 315, 462, 478. So, keep reading to learn more.
Given numbers are 715,224,315,462,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,224,315,462,478 is 344504160.
Find LCM of 715,224,315,462,478 with Prime Factorization
| 2 | 715, 224, 315, 462, 478 |
| 3 | 715, 112, 315, 231, 239 |
| 5 | 715, 112, 105, 77, 239 |
| 7 | 143, 112, 21, 77, 239 |
| 11 | 143, 16, 3, 11, 239 |
| 13, 16, 3, 1, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 13 x 16 x 3 x 1 x 239 = 344504160
Therefore, the lowest common multiple of 715,224,315,462,478 is 344504160.
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.
715 x 224 x 315 x 462 x 478 = 11141264534400
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,224,315,462,478, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
224:2x 2x 2x 2x 2x 7
315:3x 3x 5x 7
462:2x 3x 7x 11
478:2x 239
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 5x 7x 7x 11 = 32340
Therefore, the value for common factors is 32340.
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 = 11141264534400/(1x32340)
LCM = 11141264534400/32340
LCM = 344504160
Thus, we can understand that the LCM of 715,224,315,462,478 is 344504160.
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FAQs on LCM of 715, 224, 315, 462, 478
1. What is the LCM of 715, 224, 315, 462, 478?
Answer: LCM of 715, 224, 315, 462, 478 is 344504160.
2. How to calculate the LCM of 715, 224, 315, 462, 478?
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 715, 224, 315, 462, 478.
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}.