Find the LCM of 763, 989, 236, 432, 447 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 763, 989, 236, 432, 447. So, keep reading to learn more.
Given numbers are 763,989,236,432,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,989,236,432,447 is 2865780059184.
Find LCM of 763,989,236,432,447 with Prime Factorization
2 | 763, 989, 236, 432, 447 |
2 | 763, 989, 118, 216, 447 |
3 | 763, 989, 59, 108, 447 |
763, 989, 59, 36, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 763 x 989 x 59 x 36 x 149 = 2865780059184
Therefore, the lowest common multiple of 763,989,236,432,447 is 2865780059184.
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.
763 x 989 x 236 x 432 x 447 = 34389360710208
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.
763 : 1, 7, 109, 763
989 : 1, 23, 43, 989
236 : 1, 2, 4, 59, 118, 236
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,989,236,432,447, is 1.
Now, the common factors can be found like this.
763:7x 109
989:23x 43
236:2x 2x 59
432:2x 2x 2x 2x 3x 3x 3
447:3x 149
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 3 = 12
Therefore, the value for common factors is 12.
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 = 34389360710208/(1x12)
LCM = 34389360710208/12
LCM = 2865780059184
Thus, we can understand that the LCM of 763,989,236,432,447 is 2865780059184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 763, 989, 236, 432, 447?
Answer: LCM of 763, 989, 236, 432, 447 is 2865780059184.
2. How to calculate the LCM of 763, 989, 236, 432, 447?
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 763, 989, 236, 432, 447.
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}.