LCM of 224, 724, 592, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 224, 724, 592, 726 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 224, 724, 592, 726. So, keep reading to learn more.
Given numbers are 224,724,592,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,724,592,726 is 544546464.
Find LCM of 224,724,592,726 with Prime Factorization
| 2 | 224, 724, 592, 726 |
| 2 | 112, 362, 296, 363 |
| 2 | 56, 181, 148, 363 |
| 2 | 28, 181, 74, 363 |
| 14, 181, 37, 363 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 14 x 181 x 37 x 363 = 544546464
Therefore, the lowest common multiple of 224,724,592,726 is 544546464.
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.
224 x 724 x 592 x 726 = 69701947392
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
724 : 1, 2, 4, 181, 362, 724
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,724,592,726, is 2.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
724:2x 2x 181
592:2x 2x 2x 2x 37
726:2x 3x 11x 11
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 2 = 64
Therefore, the value for common factors is 64.
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 = 69701947392/(2x64)
LCM = 69701947392/128
LCM = 544546464
Thus, we can understand that the LCM of 224,724,592,726 is 544546464.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 224, 724, 592, 726
1. What is the LCM of 224, 724, 592, 726?
Answer: LCM of 224, 724, 592, 726 is 544546464.
2. How to calculate the LCM of 224, 724, 592, 726?
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 224, 724, 592, 726.
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}.