LCM of 230, 551, 884, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 551, 884, 646 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 230, 551, 884, 646. So, keep reading to learn more.
Given numbers are 230,551,884,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,551,884,646 is 56014660.
Find LCM of 230,551,884,646 with Prime Factorization
| 2 | 230, 551, 884, 646 |
| 17 | 115, 551, 442, 323 |
| 19 | 115, 551, 26, 19 |
| 115, 29, 26, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 19 x 115 x 29 x 26 x 1 = 56014660
Therefore, the lowest common multiple of 230,551,884,646 is 56014660.
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.
230 x 551 x 884 x 646 = 72370940720
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
551 : 1, 19, 29, 551
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,551,884,646, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
551:19x 29
884:2x 2x 13x 17
646:2x 17x 19
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 17x 19 = 1292
Therefore, the value for common factors is 1292.
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 = 72370940720/(1x1292)
LCM = 72370940720/1292
LCM = 56014660
Thus, we can understand that the LCM of 230,551,884,646 is 56014660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 230, 551, 884, 646
1. What is the LCM of 230, 551, 884, 646?
Answer: LCM of 230, 551, 884, 646 is 56014660.
2. How to calculate the LCM of 230, 551, 884, 646?
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 230, 551, 884, 646.
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}.