LCM of 363, 709, 759, 462, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 709, 759, 462, 224 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 363, 709, 759, 462, 224. So, keep reading to learn more.
Given numbers are 363,709,759,462,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,709,759,462,224 is 1325954784.
Find LCM of 363,709,759,462,224 with Prime Factorization
| 2 | 363, 709, 759, 462, 224 |
| 3 | 363, 709, 759, 231, 112 |
| 7 | 121, 709, 253, 77, 112 |
| 11 | 121, 709, 253, 11, 16 |
| 1, 709, 23, 11, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 1 x 709 x 23 x 11 x 16 = 1325954784
Therefore, the lowest common multiple of 363,709,759,462,224 is 1325954784.
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.
363 x 709 x 759 x 462 x 224 = 20215506636864
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.
363 : 1, 3, 11, 33, 121, 363
709 : 1, 709
759 : 1, 3, 11, 23, 33, 69, 253, 759
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,709,759,462,224, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
709:709
759:3x 11x 23
462:2x 3x 7x 11
224:2x 2x 2x 2x 2x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 11x 11 = 15246
Therefore, the value for common factors is 15246.
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 = 20215506636864/(1x15246)
LCM = 20215506636864/15246
LCM = 1325954784
Thus, we can understand that the LCM of 363,709,759,462,224 is 1325954784.
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FAQs on LCM of 363, 709, 759, 462, 224
1. What is the LCM of 363, 709, 759, 462, 224?
Answer: LCM of 363, 709, 759, 462, 224 is 1325954784.
2. How to calculate the LCM of 363, 709, 759, 462, 224?
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 363, 709, 759, 462, 224.
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}.