LCM of 551, 290, 501, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 290, 501, 114 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, 290, 501, 114. So, keep reading to learn more.
Given numbers are 551,290,501,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,290,501,114 is 2760510.
Find LCM of 551,290,501,114 with Prime Factorization
| 2 | 551, 290, 501, 114 |
| 3 | 551, 145, 501, 57 |
| 19 | 551, 145, 167, 19 |
| 29 | 29, 145, 167, 1 |
| 1, 5, 167, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 29 x 1 x 5 x 167 x 1 = 2760510
Therefore, the lowest common multiple of 551,290,501,114 is 2760510.
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 290 x 501 x 114 = 9126246060
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
290 : 1, 2, 5, 10, 29, 58, 145, 290
501 : 1, 3, 167, 501
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,290,501,114, is 1.
Now, the common factors can be found like this.
551:19x 29
290:2x 5x 29
501:3x 167
114:2x 3x 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 3x 19x 29 = 3306
Therefore, the value for common factors is 3306.
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 = 9126246060/(1x3306)
LCM = 9126246060/3306
LCM = 2760510
Thus, we can understand that the LCM of 551,290,501,114 is 2760510.
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FAQs on LCM of 551, 290, 501, 114
1. What is the LCM of 551, 290, 501, 114?
Answer: LCM of 551, 290, 501, 114 is 2760510.
2. How to calculate the LCM of 551, 290, 501, 114?
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, 290, 501, 114.
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}.