LCM of 573, 183, 319, 174, 482
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 183, 319, 174, 482 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 573, 183, 319, 174, 482. So, keep reading to learn more.
Given numbers are 573,183,319,174,482
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,183,319,174,482 is 5374303374.
Find LCM of 573,183,319,174,482 with Prime Factorization
| 2 | 573, 183, 319, 174, 482 |
| 3 | 573, 183, 319, 87, 241 |
| 29 | 191, 61, 319, 29, 241 |
| 191, 61, 11, 1, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 191 x 61 x 11 x 1 x 241 = 5374303374
Therefore, the lowest common multiple of 573,183,319,174,482 is 5374303374.
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.
573 x 183 x 319 x 174 x 482 = 2805386361228
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.
573 : 1, 3, 191, 573
183 : 1, 3, 61, 183
319 : 1, 11, 29, 319
174 : 1, 2, 3, 6, 29, 58, 87, 174
482 : 1, 2, 241, 482
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,183,319,174,482, is 1.
Now, the common factors can be found like this.
573:3x 191
183:3x 61
319:11x 29
174:2x 3x 29
482:2x 241
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 29 = 522
Therefore, the value for common factors is 522.
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 = 2805386361228/(1x522)
LCM = 2805386361228/522
LCM = 5374303374
Thus, we can understand that the LCM of 573,183,319,174,482 is 5374303374.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 573, 183, 319, 174, 482
1. What is the LCM of 573, 183, 319, 174, 482?
Answer: LCM of 573, 183, 319, 174, 482 is 5374303374.
2. How to calculate the LCM of 573, 183, 319, 174, 482?
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 573, 183, 319, 174, 482.
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}.