LCM of 524, 951, 833, 306, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 951, 833, 306, 629 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 524, 951, 833, 306, 629. So, keep reading to learn more.
Given numbers are 524,951,833,306,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,951,833,306,629 is 46076532012.
Find LCM of 524,951,833,306,629 with Prime Factorization
| 2 | 524, 951, 833, 306, 629 |
| 3 | 262, 951, 833, 153, 629 |
| 17 | 262, 317, 833, 51, 629 |
| 262, 317, 49, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 262 x 317 x 49 x 3 x 37 = 46076532012
Therefore, the lowest common multiple of 524,951,833,306,629 is 46076532012.
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.
524 x 951 x 833 x 306 x 629 = 79896706508808
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.
524 : 1, 2, 4, 131, 262, 524
951 : 1, 3, 317, 951
833 : 1, 7, 17, 49, 119, 833
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,951,833,306,629, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
951:3x 317
833:7x 7x 17
306:2x 3x 3x 17
629:17x 37
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 17x 17 = 1734
Therefore, the value for common factors is 1734.
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 = 79896706508808/(1x1734)
LCM = 79896706508808/1734
LCM = 46076532012
Thus, we can understand that the LCM of 524,951,833,306,629 is 46076532012.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 524, 951, 833, 306, 629
1. What is the LCM of 524, 951, 833, 306, 629?
Answer: LCM of 524, 951, 833, 306, 629 is 46076532012.
2. How to calculate the LCM of 524, 951, 833, 306, 629?
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 524, 951, 833, 306, 629.
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}.