LCM of 524, 508, 715, 238, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 508, 715, 238, 637 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 524, 508, 715, 238, 637. So, keep reading to learn more.
Given numbers are 524,508,715,238,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,508,715,238,637 is 39635656060.
Find LCM of 524,508,715,238,637 with Prime Factorization
| 2 | 524, 508, 715, 238, 637 |
| 2 | 262, 254, 715, 119, 637 |
| 7 | 131, 127, 715, 119, 637 |
| 13 | 131, 127, 715, 17, 91 |
| 131, 127, 55, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 131 x 127 x 55 x 17 x 7 = 39635656060
Therefore, the lowest common multiple of 524,508,715,238,637 is 39635656060.
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.
524 x 508 x 715 x 238 x 637 = 28854757611680
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.
524 : 1, 2, 4, 131, 262, 524
508 : 1, 2, 4, 127, 254, 508
715 : 1, 5, 11, 13, 55, 65, 143, 715
238 : 1, 2, 7, 14, 17, 34, 119, 238
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,508,715,238,637, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
508:2x 2x 127
715:5x 11x 13
238:2x 7x 17
637:7x 7x 13
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 7x 13 = 728
Therefore, the value for common factors is 728.
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 = 28854757611680/(1x728)
LCM = 28854757611680/728
LCM = 39635656060
Thus, we can understand that the LCM of 524,508,715,238,637 is 39635656060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 524, 508, 715, 238, 637
1. What is the LCM of 524, 508, 715, 238, 637?
Answer: LCM of 524, 508, 715, 238, 637 is 39635656060.
2. How to calculate the LCM of 524, 508, 715, 238, 637?
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 524, 508, 715, 238, 637.
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}.