LCM of 264, 419, 505, 416, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 419, 505, 416, 616 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 264, 419, 505, 416, 616. So, keep reading to learn more.
Given numbers are 264,419,505,416,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,419,505,416,616 is 20333433120.
Find LCM of 264,419,505,416,616 with Prime Factorization
| 2 | 264, 419, 505, 416, 616 |
| 2 | 132, 419, 505, 208, 308 |
| 2 | 66, 419, 505, 104, 154 |
| 11 | 33, 419, 505, 52, 77 |
| 3, 419, 505, 52, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 3 x 419 x 505 x 52 x 7 = 20333433120
Therefore, the lowest common multiple of 264,419,505,416,616 is 20333433120.
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.
264 x 419 x 505 x 416 x 616 = 14314736916480
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
419 : 1, 419
505 : 1, 5, 101, 505
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,419,505,416,616, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
419:419
505:5x 101
416:2x 2x 2x 2x 2x 13
616:2x 2x 2x 7x 11
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 2x 2x 2x 11 = 704
Therefore, the value for common factors is 704.
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 = 14314736916480/(1x704)
LCM = 14314736916480/704
LCM = 20333433120
Thus, we can understand that the LCM of 264,419,505,416,616 is 20333433120.
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FAQs on LCM of 264, 419, 505, 416, 616
1. What is the LCM of 264, 419, 505, 416, 616?
Answer: LCM of 264, 419, 505, 416, 616 is 20333433120.
2. How to calculate the LCM of 264, 419, 505, 416, 616?
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 264, 419, 505, 416, 616.
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}.