LCM of 606, 764, 267, 573, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 764, 267, 573, 612 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 606, 764, 267, 573, 612. So, keep reading to learn more.
Given numbers are 606,764,267,573,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,764,267,573,612 is 1050742188.
Find LCM of 606,764,267,573,612 with Prime Factorization
| 2 | 606, 764, 267, 573, 612 |
| 2 | 303, 382, 267, 573, 306 |
| 3 | 303, 191, 267, 573, 153 |
| 191 | 101, 191, 89, 191, 51 |
| 101, 1, 89, 1, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 191 x 101 x 1 x 89 x 1 x 51 = 1050742188
Therefore, the lowest common multiple of 606,764,267,573,612 is 1050742188.
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.
606 x 764 x 267 x 573 x 612 = 43349419708128
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
764 : 1, 2, 4, 191, 382, 764
267 : 1, 3, 89, 267
573 : 1, 3, 191, 573
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,764,267,573,612, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
764:2x 2x 191
267:3x 89
573:3x 191
612:2x 2x 3x 3x 17
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 3x 3x 191 = 41256
Therefore, the value for common factors is 41256.
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 = 43349419708128/(1x41256)
LCM = 43349419708128/41256
LCM = 1050742188
Thus, we can understand that the LCM of 606,764,267,573,612 is 1050742188.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 606, 764, 267, 573, 612
1. What is the LCM of 606, 764, 267, 573, 612?
Answer: LCM of 606, 764, 267, 573, 612 is 1050742188.
2. How to calculate the LCM of 606, 764, 267, 573, 612?
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 606, 764, 267, 573, 612.
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}.