LCM of 523, 501, 501, 653
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 501, 501, 653 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, 501, 501, 653. So, keep reading to learn more.
Given numbers are 523,501,501,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,501,501,653 is 171101019.
Find LCM of 523,501,501,653 with Prime Factorization
| 3 | 523, 501, 501, 653 |
| 167 | 523, 167, 167, 653 |
| 523, 1, 1, 653 |
Multiply the prime numbers at the bottom and the left side.
3 x 167 x 523 x 1 x 1 x 653 = 171101019
Therefore, the lowest common multiple of 523,501,501,653 is 171101019.
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 501 x 501 x 653 = 85721610519
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
501 : 1, 3, 167, 501
501 : 1, 3, 167, 501
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,501,501,653, is 1.
Now, the common factors can be found like this.
523:523
501:3x 167
501:3x 167
653:653
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 167 = 501
Therefore, the value for common factors is 501.
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 = 85721610519/(1x501)
LCM = 85721610519/501
LCM = 171101019
Thus, we can understand that the LCM of 523,501,501,653 is 171101019.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 523, 501, 501, 653
1. What is the LCM of 523, 501, 501, 653?
Answer: LCM of 523, 501, 501, 653 is 171101019.
2. How to calculate the LCM of 523, 501, 501, 653?
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, 501, 501, 653.
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}.