LCM of 618, 264, 972, 537
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 618, 264, 972, 537 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 618, 264, 972, 537. So, keep reading to learn more.
Given numbers are 618,264,972,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 618,264,972,537 is 394256808.
Find LCM of 618,264,972,537 with Prime Factorization
| 2 | 618, 264, 972, 537 |
| 2 | 309, 132, 486, 537 |
| 3 | 309, 66, 243, 537 |
| 103, 22, 81, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 103 x 22 x 81 x 179 = 394256808
Therefore, the lowest common multiple of 618,264,972,537 is 394256808.
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.
618 x 264 x 972 x 537 = 85159470528
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.
618 : 1, 2, 3, 6, 103, 206, 309, 618
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
537 : 1, 3, 179, 537
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,264,972,537, is 3.
Now, the common factors can be found like this.
618:2x 3x 103
264:2x 2x 2x 3x 11
972:2x 2x 3x 3x 3x 3x 3
537:3x 179
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 3 = 72
Therefore, the value for common factors is 72.
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 = 85159470528/(3x72)
LCM = 85159470528/216
LCM = 394256808
Thus, we can understand that the LCM of 618,264,972,537 is 394256808.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 618, 264, 972, 537
1. What is the LCM of 618, 264, 972, 537?
Answer: LCM of 618, 264, 972, 537 is 394256808.
2. How to calculate the LCM of 618, 264, 972, 537?
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 618, 264, 972, 537.
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}.