LCM of 716, 852, 156, 687, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 852, 156, 687, 567 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 716, 852, 156, 687, 567. So, keep reading to learn more.
Given numbers are 716,852,156,687,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,852,156,687,567 is 85809083724.
Find LCM of 716,852,156,687,567 with Prime Factorization
| 2 | 716, 852, 156, 687, 567 |
| 2 | 358, 426, 78, 687, 567 |
| 3 | 179, 213, 39, 687, 567 |
| 179, 71, 13, 229, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 179 x 71 x 13 x 229 x 189 = 85809083724
Therefore, the lowest common multiple of 716,852,156,687,567 is 85809083724.
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.
716 x 852 x 156 x 687 x 567 = 37069524168768
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.
716 : 1, 2, 4, 179, 358, 716
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
687 : 1, 3, 229, 687
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,852,156,687,567, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
852:2x 2x 3x 71
156:2x 2x 3x 13
687:3x 229
567:3x 3x 3x 3x 7
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 2x 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 37069524168768/(1x432)
LCM = 37069524168768/432
LCM = 85809083724
Thus, we can understand that the LCM of 716,852,156,687,567 is 85809083724.
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FAQs on LCM of 716, 852, 156, 687, 567
1. What is the LCM of 716, 852, 156, 687, 567?
Answer: LCM of 716, 852, 156, 687, 567 is 85809083724.
2. How to calculate the LCM of 716, 852, 156, 687, 567?
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 716, 852, 156, 687, 567.
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}.