LCM of 649, 928, 336, 528, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 928, 336, 528, 576 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 649, 928, 336, 528, 576. So, keep reading to learn more.
Given numbers are 649,928,336,528,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,928,336,528,576 is 75886272.
Find LCM of 649,928,336,528,576 with Prime Factorization
| 2 | 649, 928, 336, 528, 576 |
| 2 | 649, 464, 168, 264, 288 |
| 2 | 649, 232, 84, 132, 144 |
| 2 | 649, 116, 42, 66, 72 |
| 2 | 649, 58, 21, 33, 36 |
| 3 | 649, 29, 21, 33, 18 |
| 11 | 649, 29, 7, 11, 6 |
| 59, 29, 7, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 11 x 59 x 29 x 7 x 1 x 6 = 75886272
Therefore, the lowest common multiple of 649,928,336,528,576 is 75886272.
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.
649 x 928 x 336 x 528 x 576 = 61544373682176
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.
649 : 1, 11, 59, 649
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,928,336,528,576, is 1.
Now, the common factors can be found like this.
649:11x 59
928:2x 2x 2x 2x 2x 29
336:2x 2x 2x 2x 3x 7
528:2x 2x 2x 2x 3x 11
576:2x 2x 2x 2x 2x 2x 3x 3
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 2x 2x 2x 2x 2x 2x 2x 3x 3x 11 = 811008
Therefore, the value for common factors is 811008.
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 = 61544373682176/(1x811008)
LCM = 61544373682176/811008
LCM = 75886272
Thus, we can understand that the LCM of 649,928,336,528,576 is 75886272.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 649, 928, 336, 528, 576
1. What is the LCM of 649, 928, 336, 528, 576?
Answer: LCM of 649, 928, 336, 528, 576 is 75886272.
2. How to calculate the LCM of 649, 928, 336, 528, 576?
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 649, 928, 336, 528, 576.
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}.