LCM of 534, 963, 830, 268, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 963, 830, 268, 846 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 534, 963, 830, 268, 846. So, keep reading to learn more.
Given numbers are 534,963,830,268,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,963,830,268,846 is 448019629380.
Find LCM of 534,963,830,268,846 with Prime Factorization
| 2 | 534, 963, 830, 268, 846 |
| 3 | 267, 963, 415, 134, 423 |
| 3 | 89, 321, 415, 134, 141 |
| 89, 107, 415, 134, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 89 x 107 x 415 x 134 x 47 = 448019629380
Therefore, the lowest common multiple of 534,963,830,268,846 is 448019629380.
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.
534 x 963 x 830 x 268 x 846 = 96772239946080
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
963 : 1, 3, 9, 107, 321, 963
830 : 1, 2, 5, 10, 83, 166, 415, 830
268 : 1, 2, 4, 67, 134, 268
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,963,830,268,846, is 1.
Now, the common factors can be found like this.
534:2x 3x 89
963:3x 3x 107
830:2x 5x 83
268:2x 2x 67
846:2x 3x 3x 47
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 96772239946080/(1x216)
LCM = 96772239946080/216
LCM = 448019629380
Thus, we can understand that the LCM of 534,963,830,268,846 is 448019629380.
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FAQs on LCM of 534, 963, 830, 268, 846
1. What is the LCM of 534, 963, 830, 268, 846?
Answer: LCM of 534, 963, 830, 268, 846 is 448019629380.
2. How to calculate the LCM of 534, 963, 830, 268, 846?
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 534, 963, 830, 268, 846.
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}.