Find the LCM of 762, 190, 605, 968, 594 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, 190, 605, 968, 594. So, keep reading to learn more.
Given numbers are 762,190,605,968,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,190,605,968,594 is 315330840.
Find LCM of 762,190,605,968,594 with Prime Factorization
2 | 762, 190, 605, 968, 594 |
3 | 381, 95, 605, 484, 297 |
5 | 127, 95, 605, 484, 99 |
11 | 127, 19, 121, 484, 99 |
11 | 127, 19, 11, 44, 9 |
127, 19, 1, 4, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 11 x 127 x 19 x 1 x 4 x 9 = 315330840
Therefore, the lowest common multiple of 762,190,605,968,594 is 315330840.
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 190 x 605 x 968 x 594 = 50364641764800
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
190 : 1, 2, 5, 10, 19, 38, 95, 190
605 : 1, 5, 11, 55, 121, 605
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,190,605,968,594, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
190:2x 5x 19
605:5x 11x 11
968:2x 2x 2x 11x 11
594:2x 3x 3x 3x 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 3x 5x 11x 11x 11 = 159720
Therefore, the value for common factors is 159720.
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 = 50364641764800/(1x159720)
LCM = 50364641764800/159720
LCM = 315330840
Thus, we can understand that the LCM of 762,190,605,968,594 is 315330840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 762, 190, 605, 968, 594?
Answer: LCM of 762, 190, 605, 968, 594 is 315330840.
2. How to calculate the LCM of 762, 190, 605, 968, 594?
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, 190, 605, 968, 594.
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}.