LCM of 471, 213, 649, 559, 475
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 213, 649, 559, 475 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 471, 213, 649, 559, 475. So, keep reading to learn more.
Given numbers are 471,213,649,559,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,213,649,559,475 is 5762744569725.
Find LCM of 471,213,649,559,475 with Prime Factorization
| 3 | 471, 213, 649, 559, 475 |
| 157, 71, 649, 559, 475 |
Multiply the prime numbers at the bottom and the left side.
3 x 157 x 71 x 649 x 559 x 475 = 5762744569725
Therefore, the lowest common multiple of 471,213,649,559,475 is 5762744569725.
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.
471 x 213 x 649 x 559 x 475 = 17288233709175
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.
471 : 1, 3, 157, 471
213 : 1, 3, 71, 213
649 : 1, 11, 59, 649
559 : 1, 13, 43, 559
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,213,649,559,475, is 1.
Now, the common factors can be found like this.
471:3x 157
213:3x 71
649:11x 59
559:13x 43
475:5x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 17288233709175/(1x3)
LCM = 17288233709175/3
LCM = 5762744569725
Thus, we can understand that the LCM of 471,213,649,559,475 is 5762744569725.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 213, 649, 559, 475
1. What is the LCM of 471, 213, 649, 559, 475?
Answer: LCM of 471, 213, 649, 559, 475 is 5762744569725.
2. How to calculate the LCM of 471, 213, 649, 559, 475?
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 471, 213, 649, 559, 475.
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}.