LCM of 523, 243, 785, 949, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 243, 785, 949, 549 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 523, 243, 785, 949, 549. So, keep reading to learn more.
Given numbers are 523,243,785,949,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,243,785,949,549 is 5775288269985.
Find LCM of 523,243,785,949,549 with Prime Factorization
| 3 | 523, 243, 785, 949, 549 |
| 3 | 523, 81, 785, 949, 183 |
| 523, 27, 785, 949, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 523 x 27 x 785 x 949 x 61 = 5775288269985
Therefore, the lowest common multiple of 523,243,785,949,549 is 5775288269985.
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.
523 x 243 x 785 x 949 x 549 = 51977594429865
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.
523 : 1, 523
243 : 1, 3, 9, 27, 81, 243
785 : 1, 5, 157, 785
949 : 1, 13, 73, 949
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,243,785,949,549, is 1.
Now, the common factors can be found like this.
523:523
243:3x 3x 3x 3x 3
785:5x 157
949:13x 73
549:3x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 51977594429865/(1x9)
LCM = 51977594429865/9
LCM = 5775288269985
Thus, we can understand that the LCM of 523,243,785,949,549 is 5775288269985.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 523, 243, 785, 949, 549
1. What is the LCM of 523, 243, 785, 949, 549?
Answer: LCM of 523, 243, 785, 949, 549 is 5775288269985.
2. How to calculate the LCM of 523, 243, 785, 949, 549?
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 523, 243, 785, 949, 549.
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}.