LCM of 572, 416, 286, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 416, 286, 290 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, 416, 286, 290. So, keep reading to learn more.
Given numbers are 572,416,286,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,416,286,290 is 663520.
Find LCM of 572,416,286,290 with Prime Factorization
| 2 | 572, 416, 286, 290 |
| 2 | 286, 208, 143, 145 |
| 11 | 143, 104, 143, 145 |
| 13 | 13, 104, 13, 145 |
| 1, 8, 1, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 1 x 8 x 1 x 145 = 663520
Therefore, the lowest common multiple of 572,416,286,290 is 663520.
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 416 x 286 x 290 = 19735738880
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
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
286 : 1, 2, 11, 13, 22, 26, 143, 286
290 : 1, 2, 5, 10, 29, 58, 145, 290
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,416,286,290, is 2.
Now, the common factors can be found like this.
572:2x 2x 11x 13
416:2x 2x 2x 2x 2x 13
286:2x 11x 13
290:2x 5x 29
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 11x 13x 13 = 14872
Therefore, the value for common factors is 14872.
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 = 19735738880/(2x14872)
LCM = 19735738880/29744
LCM = 663520
Thus, we can understand that the LCM of 572,416,286,290 is 663520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 572, 416, 286, 290
1. What is the LCM of 572, 416, 286, 290?
Answer: LCM of 572, 416, 286, 290 is 663520.
2. How to calculate the LCM of 572, 416, 286, 290?
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, 416, 286, 290.
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}.