LCM of 146, 519, 572, 529, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 519, 572, 529, 902 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 146, 519, 572, 529, 902. So, keep reading to learn more.
Given numbers are 146,519,572,529,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,519,572,529,902 is 470030213796.
Find LCM of 146,519,572,529,902 with Prime Factorization
| 2 | 146, 519, 572, 529, 902 |
| 11 | 73, 519, 286, 529, 451 |
| 73, 519, 26, 529, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 73 x 519 x 26 x 529 x 41 = 470030213796
Therefore, the lowest common multiple of 146,519,572,529,902 is 470030213796.
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.
146 x 519 x 572 x 529 x 902 = 20681329407024
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.
146 : 1, 2, 73, 146
519 : 1, 3, 173, 519
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
529 : 1, 23, 529
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,519,572,529,902, is 1.
Now, the common factors can be found like this.
146:2x 73
519:3x 173
572:2x 2x 11x 13
529:23x 23
902:2x 11x 41
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 11 = 44
Therefore, the value for common factors is 44.
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 = 20681329407024/(1x44)
LCM = 20681329407024/44
LCM = 470030213796
Thus, we can understand that the LCM of 146,519,572,529,902 is 470030213796.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 146, 519, 572, 529, 902
1. What is the LCM of 146, 519, 572, 529, 902?
Answer: LCM of 146, 519, 572, 529, 902 is 470030213796.
2. How to calculate the LCM of 146, 519, 572, 529, 902?
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 146, 519, 572, 529, 902.
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}.