LCM of 561, 506, 732, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 506, 732, 730 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 561, 506, 732, 730. So, keep reading to learn more.
Given numbers are 561,506,732,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,506,732,730 is 1149141180.
Find LCM of 561,506,732,730 with Prime Factorization
| 2 | 561, 506, 732, 730 |
| 3 | 561, 253, 366, 365 |
| 11 | 187, 253, 122, 365 |
| 17, 23, 122, 365 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 23 x 122 x 365 = 1149141180
Therefore, the lowest common multiple of 561,506,732,730 is 1149141180.
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.
561 x 506 x 732 x 730 = 151686635760
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
506 : 1, 2, 11, 22, 23, 46, 253, 506
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,506,732,730, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
506:2x 11x 23
732:2x 2x 3x 61
730:2x 5x 73
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 151686635760/(1x132)
LCM = 151686635760/132
LCM = 1149141180
Thus, we can understand that the LCM of 561,506,732,730 is 1149141180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 506, 732, 730
1. What is the LCM of 561, 506, 732, 730?
Answer: LCM of 561, 506, 732, 730 is 1149141180.
2. How to calculate the LCM of 561, 506, 732, 730?
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 561, 506, 732, 730.
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}.