LCM of 536, 680, 263, 352, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 536, 680, 263, 352, 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 536, 680, 263, 352, 834. So, keep reading to learn more.
Given numbers are 536,680,263,352,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 536,680,263,352,834 is 219850873440.
Find LCM of 536,680,263,352,834 with Prime Factorization
| 2 | 536, 680, 263, 352, 834 |
| 2 | 268, 340, 263, 176, 417 |
| 2 | 134, 170, 263, 88, 417 |
| 67, 85, 263, 44, 417 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 67 x 85 x 263 x 44 x 417 = 219850873440
Therefore, the lowest common multiple of 536,680,263,352,834 is 219850873440.
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.
536 x 680 x 263 x 352 x 834 = 28140911800320
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.
536 : 1, 2, 4, 8, 67, 134, 268, 536
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
263 : 1, 263
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
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 536,680,263,352,834, is 1.
Now, the common factors can be found like this.
536:2x 2x 2x 67
680:2x 2x 2x 5x 17
263:263
352:2x 2x 2x 2x 2x 11
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 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 28140911800320/(1x128)
LCM = 28140911800320/128
LCM = 219850873440
Thus, we can understand that the LCM of 536,680,263,352,834 is 219850873440.
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FAQs on LCM of 536, 680, 263, 352, 834
1. What is the LCM of 536, 680, 263, 352, 834?
Answer: LCM of 536, 680, 263, 352, 834 is 219850873440.
2. How to calculate the LCM of 536, 680, 263, 352, 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 536, 680, 263, 352, 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}.