LCM of 507, 715, 598, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 715, 598, 156 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 507, 715, 598, 156. So, keep reading to learn more.
Given numbers are 507,715,598,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,715,598,156 is 2565420.
Find LCM of 507,715,598,156 with Prime Factorization
| 2 | 507, 715, 598, 156 |
| 3 | 507, 715, 299, 78 |
| 13 | 169, 715, 299, 26 |
| 13, 55, 23, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 55 x 23 x 2 = 2565420
Therefore, the lowest common multiple of 507,715,598,156 is 2565420.
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.
507 x 715 x 598 x 156 = 33817366440
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.
507 : 1, 3, 13, 39, 169, 507
715 : 1, 5, 11, 13, 55, 65, 143, 715
598 : 1, 2, 13, 23, 26, 46, 299, 598
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,715,598,156, is 13.
Now, the common factors can be found like this.
507:3x 13x 13
715:5x 11x 13
598:2x 13x 23
156:2x 2x 3x 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 3x 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 33817366440/(13x1014)
LCM = 33817366440/13182
LCM = 2565420
Thus, we can understand that the LCM of 507,715,598,156 is 2565420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 507, 715, 598, 156
1. What is the LCM of 507, 715, 598, 156?
Answer: LCM of 507, 715, 598, 156 is 2565420.
2. How to calculate the LCM of 507, 715, 598, 156?
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 507, 715, 598, 156.
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}.