LCM of 553, 189, 221, 858, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 553, 189, 221, 858, 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 553, 189, 221, 858, 290. So, keep reading to learn more.
Given numbers are 553,189,221,858,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,189,221,858,290 is 10526205690.
Find LCM of 553,189,221,858,290 with Prime Factorization
| 2 | 553, 189, 221, 858, 290 |
| 3 | 553, 189, 221, 429, 145 |
| 7 | 553, 63, 221, 143, 145 |
| 13 | 79, 9, 221, 143, 145 |
| 79, 9, 17, 11, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 79 x 9 x 17 x 11 x 145 = 10526205690
Therefore, the lowest common multiple of 553,189,221,858,290 is 10526205690.
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.
553 x 189 x 221 x 858 x 290 = 5747308306740
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.
553 : 1, 7, 79, 553
189 : 1, 3, 7, 9, 21, 27, 63, 189
221 : 1, 13, 17, 221
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,189,221,858,290, is 1.
Now, the common factors can be found like this.
553:7x 79
189:3x 3x 3x 7
221:13x 17
858:2x 3x 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 3x 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 5747308306740/(1x546)
LCM = 5747308306740/546
LCM = 10526205690
Thus, we can understand that the LCM of 553,189,221,858,290 is 10526205690.
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FAQs on LCM of 553, 189, 221, 858, 290
1. What is the LCM of 553, 189, 221, 858, 290?
Answer: LCM of 553, 189, 221, 858, 290 is 10526205690.
2. How to calculate the LCM of 553, 189, 221, 858, 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 553, 189, 221, 858, 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}.