LCM of 623, 551, 418, 131, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 623, 551, 418, 131, 988 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 623, 551, 418, 131, 988. So, keep reading to learn more.
Given numbers are 623,551,418,131,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 623,551,418,131,988 is 25722132436.
Find LCM of 623,551,418,131,988 with Prime Factorization
| 2 | 623, 551, 418, 131, 988 |
| 19 | 623, 551, 209, 131, 494 |
| 623, 29, 11, 131, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 623 x 29 x 11 x 131 x 26 = 25722132436
Therefore, the lowest common multiple of 623,551,418,131,988 is 25722132436.
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.
623 x 551 x 418 x 131 x 988 = 18571379618792
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.
623 : 1, 7, 89, 623
551 : 1, 19, 29, 551
418 : 1, 2, 11, 19, 22, 38, 209, 418
131 : 1, 131
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 623,551,418,131,988, is 1.
Now, the common factors can be found like this.
623:7x 89
551:19x 29
418:2x 11x 19
131:131
988:2x 2x 13x 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 19x 19 = 722
Therefore, the value for common factors is 722.
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 = 18571379618792/(1x722)
LCM = 18571379618792/722
LCM = 25722132436
Thus, we can understand that the LCM of 623,551,418,131,988 is 25722132436.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 623, 551, 418, 131, 988
1. What is the LCM of 623, 551, 418, 131, 988?
Answer: LCM of 623, 551, 418, 131, 988 is 25722132436.
2. How to calculate the LCM of 623, 551, 418, 131, 988?
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 623, 551, 418, 131, 988.
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}.