LCM of 659, 489, 456, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 489, 456, 454 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 659, 489, 456, 454. So, keep reading to learn more.
Given numbers are 659,489,456,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,489,456,454 is 11118948504.
Find LCM of 659,489,456,454 with Prime Factorization
| 2 | 659, 489, 456, 454 |
| 3 | 659, 489, 228, 227 |
| 659, 163, 76, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 659 x 163 x 76 x 227 = 11118948504
Therefore, the lowest common multiple of 659,489,456,454 is 11118948504.
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.
659 x 489 x 456 x 454 = 66713691024
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.
659 : 1, 659
489 : 1, 3, 163, 489
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,489,456,454, is 1.
Now, the common factors can be found like this.
659:659
489:3x 163
456:2x 2x 2x 3x 19
454:2x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 66713691024/(1x6)
LCM = 66713691024/6
LCM = 11118948504
Thus, we can understand that the LCM of 659,489,456,454 is 11118948504.
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FAQs on LCM of 659, 489, 456, 454
1. What is the LCM of 659, 489, 456, 454?
Answer: LCM of 659, 489, 456, 454 is 11118948504.
2. How to calculate the LCM of 659, 489, 456, 454?
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 659, 489, 456, 454.
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}.