LCM of 572, 223, 364, 348, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 223, 364, 348, 782 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 572, 223, 364, 348, 782. So, keep reading to learn more.
Given numbers are 572,223,364,348,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,223,364,348,782 is 30373507164.
Find LCM of 572,223,364,348,782 with Prime Factorization
| 2 | 572, 223, 364, 348, 782 |
| 2 | 286, 223, 182, 174, 391 |
| 13 | 143, 223, 91, 87, 391 |
| 11, 223, 7, 87, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 11 x 223 x 7 x 87 x 391 = 30373507164
Therefore, the lowest common multiple of 572,223,364,348,782 is 30373507164.
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.
572 x 223 x 364 x 348 x 782 = 12635378980224
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
223 : 1, 223
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,223,364,348,782, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
223:223
364:2x 2x 7x 13
348:2x 2x 3x 29
782:2x 17x 23
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 13 = 416
Therefore, the value for common factors is 416.
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 = 12635378980224/(1x416)
LCM = 12635378980224/416
LCM = 30373507164
Thus, we can understand that the LCM of 572,223,364,348,782 is 30373507164.
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FAQs on LCM of 572, 223, 364, 348, 782
1. What is the LCM of 572, 223, 364, 348, 782?
Answer: LCM of 572, 223, 364, 348, 782 is 30373507164.
2. How to calculate the LCM of 572, 223, 364, 348, 782?
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 572, 223, 364, 348, 782.
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}.