Find the LCM of 463, 535, 928, 763, 532 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 463, 535, 928, 763, 532. So, keep reading to learn more.
Given numbers are 463,535,928,763,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,535,928,763,532 is 3332428869280.
Find LCM of 463,535,928,763,532 with Prime Factorization
2 | 463, 535, 928, 763, 532 |
2 | 463, 535, 464, 763, 266 |
7 | 463, 535, 232, 763, 133 |
463, 535, 232, 109, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 463 x 535 x 232 x 109 x 19 = 3332428869280
Therefore, the lowest common multiple of 463,535,928,763,532 is 3332428869280.
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.
463 x 535 x 928 x 763 x 532 = 93308008339840
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.
463 : 1, 463
535 : 1, 5, 107, 535
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
763 : 1, 7, 109, 763
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,535,928,763,532, is 1.
Now, the common factors can be found like this.
463:463
535:5x 107
928:2x 2x 2x 2x 2x 29
763:7x 109
532:2x 2x 7x 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 2x 7 = 28
Therefore, the value for common factors is 28.
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 = 93308008339840/(1x28)
LCM = 93308008339840/28
LCM = 3332428869280
Thus, we can understand that the LCM of 463,535,928,763,532 is 3332428869280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 535, 928, 763, 532?
Answer: LCM of 463, 535, 928, 763, 532 is 3332428869280.
2. How to calculate the LCM of 463, 535, 928, 763, 532?
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 463, 535, 928, 763, 532.
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}.