LCM of 629, 364, 572, 340, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 364, 572, 340, 834 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 629, 364, 572, 340, 834. So, keep reading to learn more.
Given numbers are 629,364,572,340,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,364,572,340,834 is 5251105860.
Find LCM of 629,364,572,340,834 with Prime Factorization
| 2 | 629, 364, 572, 340, 834 |
| 2 | 629, 182, 286, 170, 417 |
| 13 | 629, 91, 143, 85, 417 |
| 17 | 629, 7, 11, 85, 417 |
| 37, 7, 11, 5, 417 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 37 x 7 x 11 x 5 x 417 = 5251105860
Therefore, the lowest common multiple of 629,364,572,340,834 is 5251105860.
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.
629 x 364 x 572 x 340 x 834 = 37135820641920
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.
629 : 1, 17, 37, 629
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,364,572,340,834, is 1.
Now, the common factors can be found like this.
629:17x 37
364:2x 2x 7x 13
572:2x 2x 11x 13
340:2x 2x 5x 17
834:2x 3x 139
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 2x 2x 2x 13x 17 = 7072
Therefore, the value for common factors is 7072.
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 = 37135820641920/(1x7072)
LCM = 37135820641920/7072
LCM = 5251105860
Thus, we can understand that the LCM of 629,364,572,340,834 is 5251105860.
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FAQs on LCM of 629, 364, 572, 340, 834
1. What is the LCM of 629, 364, 572, 340, 834?
Answer: LCM of 629, 364, 572, 340, 834 is 5251105860.
2. How to calculate the LCM of 629, 364, 572, 340, 834?
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 629, 364, 572, 340, 834.
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}.