LCM of 551, 636, 981, 339, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 636, 981, 339, 306 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, 636, 981, 339, 306. So, keep reading to learn more.
Given numbers are 551,636,981,339,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,636,981,339,306 is 220132330812.
Find LCM of 551,636,981,339,306 with Prime Factorization
| 2 | 551, 636, 981, 339, 306 |
| 3 | 551, 318, 981, 339, 153 |
| 3 | 551, 106, 327, 113, 51 |
| 551, 106, 109, 113, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 551 x 106 x 109 x 113 x 17 = 220132330812
Therefore, the lowest common multiple of 551,636,981,339,306 is 220132330812.
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 636 x 981 x 339 x 306 = 35661437591544
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
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
981 : 1, 3, 9, 109, 327, 981
339 : 1, 3, 113, 339
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,636,981,339,306, is 1.
Now, the common factors can be found like this.
551:19x 29
636:2x 2x 3x 53
981:3x 3x 109
339:3x 113
306:2x 3x 3x 17
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 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 35661437591544/(1x162)
LCM = 35661437591544/162
LCM = 220132330812
Thus, we can understand that the LCM of 551,636,981,339,306 is 220132330812.
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FAQs on LCM of 551, 636, 981, 339, 306
1. What is the LCM of 551, 636, 981, 339, 306?
Answer: LCM of 551, 636, 981, 339, 306 is 220132330812.
2. How to calculate the LCM of 551, 636, 981, 339, 306?
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, 636, 981, 339, 306.
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}.