LCM of 471, 841, 515, 897, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 841, 515, 897, 435 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, 841, 515, 897, 435. So, keep reading to learn more.
Given numbers are 471,841,515,897,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,841,515,897,435 is 60995152335.
Find LCM of 471,841,515,897,435 with Prime Factorization
| 3 | 471, 841, 515, 897, 435 |
| 5 | 157, 841, 515, 299, 145 |
| 29 | 157, 841, 103, 299, 29 |
| 157, 1, 103, 299, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 29 x 157 x 1 x 103 x 299 x 29 = 60995152335
Therefore, the lowest common multiple of 471,841,515,897,435 is 60995152335.
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 841 x 515 x 897 x 435 = 79598673797175
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
841 : 1, 29, 841
515 : 1, 5, 103, 515
897 : 1, 3, 13, 23, 39, 69, 299, 897
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,841,515,897,435, is 1.
Now, the common factors can be found like this.
471:3x 157
841:29x 29
515:5x 103
897:3x 13x 23
435:3x 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.
3x 3x 5x 29 = 1305
Therefore, the value for common factors is 1305.
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 = 79598673797175/(1x1305)
LCM = 79598673797175/1305
LCM = 60995152335
Thus, we can understand that the LCM of 471,841,515,897,435 is 60995152335.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 841, 515, 897, 435
1. What is the LCM of 471, 841, 515, 897, 435?
Answer: LCM of 471, 841, 515, 897, 435 is 60995152335.
2. How to calculate the LCM of 471, 841, 515, 897, 435?
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, 841, 515, 897, 435.
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}.