LCM of 551, 120, 219, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 120, 219, 284 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, 120, 219, 284. So, keep reading to learn more.
Given numbers are 551,120,219,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,120,219,284 is 342699960.
Find LCM of 551,120,219,284 with Prime Factorization
| 2 | 551, 120, 219, 284 |
| 2 | 551, 60, 219, 142 |
| 3 | 551, 30, 219, 71 |
| 551, 10, 73, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 551 x 10 x 73 x 71 = 342699960
Therefore, the lowest common multiple of 551,120,219,284 is 342699960.
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 120 x 219 x 284 = 4112399520
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
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
219 : 1, 3, 73, 219
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,120,219,284, is 1.
Now, the common factors can be found like this.
551:19x 29
120:2x 2x 2x 3x 5
219:3x 73
284:2x 2x 71
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 3 = 12
Therefore, the value for common factors is 12.
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 = 4112399520/(1x12)
LCM = 4112399520/12
LCM = 342699960
Thus, we can understand that the LCM of 551,120,219,284 is 342699960.
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FAQs on LCM of 551, 120, 219, 284
1. What is the LCM of 551, 120, 219, 284?
Answer: LCM of 551, 120, 219, 284 is 342699960.
2. How to calculate the LCM of 551, 120, 219, 284?
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, 120, 219, 284.
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}.