LCM of 181, 884, 714, 658, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 181, 884, 714, 658, 384 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 181, 884, 714, 658, 384. So, keep reading to learn more.
Given numbers are 181,884,714,658,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,884,714,658,384 is 5053566336.
Find LCM of 181,884,714,658,384 with Prime Factorization
| 2 | 181, 884, 714, 658, 384 |
| 2 | 181, 442, 357, 329, 192 |
| 3 | 181, 221, 357, 329, 96 |
| 7 | 181, 221, 119, 329, 32 |
| 17 | 181, 221, 17, 47, 32 |
| 181, 13, 1, 47, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 181 x 13 x 1 x 47 x 32 = 5053566336
Therefore, the lowest common multiple of 181,884,714,658,384 is 5053566336.
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.
181 x 884 x 714 x 658 x 384 = 28865970911232
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.
181 : 1, 181
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
658 : 1, 2, 7, 14, 47, 94, 329, 658
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,884,714,658,384, is 1.
Now, the common factors can be found like this.
181:181
884:2x 2x 13x 17
714:2x 3x 7x 17
658:2x 7x 47
384:2x 2x 2x 2x 2x 2x 2x 3
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 3x 7x 17 = 5712
Therefore, the value for common factors is 5712.
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 = 28865970911232/(1x5712)
LCM = 28865970911232/5712
LCM = 5053566336
Thus, we can understand that the LCM of 181,884,714,658,384 is 5053566336.
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FAQs on LCM of 181, 884, 714, 658, 384
1. What is the LCM of 181, 884, 714, 658, 384?
Answer: LCM of 181, 884, 714, 658, 384 is 5053566336.
2. How to calculate the LCM of 181, 884, 714, 658, 384?
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 181, 884, 714, 658, 384.
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}.