LCM of 551, 786, 393, 266, 771
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 786, 393, 266, 771 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, 786, 393, 266, 771. So, keep reading to learn more.
Given numbers are 551,786,393,266,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,786,393,266,771 is 779121714.
Find LCM of 551,786,393,266,771 with Prime Factorization
| 2 | 551, 786, 393, 266, 771 |
| 3 | 551, 393, 393, 133, 771 |
| 19 | 551, 131, 131, 133, 257 |
| 131 | 29, 131, 131, 7, 257 |
| 29, 1, 1, 7, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 131 x 29 x 1 x 1 x 7 x 257 = 779121714
Therefore, the lowest common multiple of 551,786,393,266,771 is 779121714.
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 786 x 393 x 266 x 771 = 34906211030628
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
786 : 1, 2, 3, 6, 131, 262, 393, 786
393 : 1, 3, 131, 393
266 : 1, 2, 7, 14, 19, 38, 133, 266
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,786,393,266,771, is 1.
Now, the common factors can be found like this.
551:19x 29
786:2x 3x 131
393:3x 131
266:2x 7x 19
771:3x 257
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 19x 131 = 44802
Therefore, the value for common factors is 44802.
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 = 34906211030628/(1x44802)
LCM = 34906211030628/44802
LCM = 779121714
Thus, we can understand that the LCM of 551,786,393,266,771 is 779121714.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 551, 786, 393, 266, 771
1. What is the LCM of 551, 786, 393, 266, 771?
Answer: LCM of 551, 786, 393, 266, 771 is 779121714.
2. How to calculate the LCM of 551, 786, 393, 266, 771?
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, 786, 393, 266, 771.
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}.