LCM of 468, 678, 701, 654, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 678, 701, 654, 522 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 468, 678, 701, 654, 522. So, keep reading to learn more.
Given numbers are 468,678,701,654,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,678,701,654,522 is 117183593124.
Find LCM of 468,678,701,654,522 with Prime Factorization
| 2 | 468, 678, 701, 654, 522 |
| 3 | 234, 339, 701, 327, 261 |
| 3 | 78, 113, 701, 109, 87 |
| 26, 113, 701, 109, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 26 x 113 x 701 x 109 x 29 = 117183593124
Therefore, the lowest common multiple of 468,678,701,654,522 is 117183593124.
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.
468 x 678 x 701 x 654 x 522 = 75934968344352
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
678 : 1, 2, 3, 6, 113, 226, 339, 678
701 : 1, 701
654 : 1, 2, 3, 6, 109, 218, 327, 654
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,678,701,654,522, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
678:2x 3x 113
701:701
654:2x 3x 109
522:2x 3x 3x 29
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 2x 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 75934968344352/(1x648)
LCM = 75934968344352/648
LCM = 117183593124
Thus, we can understand that the LCM of 468,678,701,654,522 is 117183593124.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 468, 678, 701, 654, 522
1. What is the LCM of 468, 678, 701, 654, 522?
Answer: LCM of 468, 678, 701, 654, 522 is 117183593124.
2. How to calculate the LCM of 468, 678, 701, 654, 522?
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 468, 678, 701, 654, 522.
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}.