LCM of 551, 609, 242, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 609, 242, 489 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 551, 609, 242, 489. So, keep reading to learn more.
Given numbers are 551,609,242,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,609,242,489 is 456429666.
Find LCM of 551,609,242,489 with Prime Factorization
| 3 | 551, 609, 242, 489 |
| 29 | 551, 203, 242, 163 |
| 19, 7, 242, 163 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 19 x 7 x 242 x 163 = 456429666
Therefore, the lowest common multiple of 551,609,242,489 is 456429666.
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.
551 x 609 x 242 x 489 = 39709380942
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.
551 : 1, 19, 29, 551
609 : 1, 3, 7, 21, 29, 87, 203, 609
242 : 1, 2, 11, 22, 121, 242
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,609,242,489, is 1.
Now, the common factors can be found like this.
551:19x 29
609:3x 7x 29
242:2x 11x 11
489:3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 29 = 87
Therefore, the value for common factors is 87.
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 = 39709380942/(1x87)
LCM = 39709380942/87
LCM = 456429666
Thus, we can understand that the LCM of 551,609,242,489 is 456429666.
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FAQs on LCM of 551, 609, 242, 489
1. What is the LCM of 551, 609, 242, 489?
Answer: LCM of 551, 609, 242, 489 is 456429666.
2. How to calculate the LCM of 551, 609, 242, 489?
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 551, 609, 242, 489.
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}.