Find the LCM of 762, 456, 672, 333, 555 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 762, 456, 672, 333, 555. So, keep reading to learn more.
Given numbers are 762,456,672,333,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,456,672,333,555 is 899952480.
Find LCM of 762,456,672,333,555 with Prime Factorization
2 | 762, 456, 672, 333, 555 |
2 | 381, 228, 336, 333, 555 |
2 | 381, 114, 168, 333, 555 |
3 | 381, 57, 84, 333, 555 |
37 | 127, 19, 28, 111, 185 |
127, 19, 28, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 37 x 127 x 19 x 28 x 3 x 5 = 899952480
Therefore, the lowest common multiple of 762,456,672,333,555 is 899952480.
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.
762 x 456 x 672 x 333 x 555 = 43154521320960
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
333 : 1, 3, 9, 37, 111, 333
555 : 1, 3, 5, 15, 37, 111, 185, 555
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,456,672,333,555, is 3.
Now, the common factors can be found like this.
762:2x 3x 127
456:2x 2x 2x 3x 19
672:2x 2x 2x 2x 2x 3x 7
333:3x 3x 37
555:3x 5x 37
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 3x 3x 3x 37 = 15984
Therefore, the value for common factors is 15984.
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 = 43154521320960/(3x15984)
LCM = 43154521320960/47952
LCM = 899952480
Thus, we can understand that the LCM of 762,456,672,333,555 is 899952480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 762, 456, 672, 333, 555?
Answer: LCM of 762, 456, 672, 333, 555 is 899952480.
2. How to calculate the LCM of 762, 456, 672, 333, 555?
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 762, 456, 672, 333, 555.
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}.