LCM of 247, 611, 979, 264, 877
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 611, 979, 264, 877 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 247, 611, 979, 264, 877. So, keep reading to learn more.
Given numbers are 247,611,979,264,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,611,979,264,877 is 239214961128.
Find LCM of 247,611,979,264,877 with Prime Factorization
| 11 | 247, 611, 979, 264, 877 |
| 13 | 247, 611, 89, 24, 877 |
| 19, 47, 89, 24, 877 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 19 x 47 x 89 x 24 x 877 = 239214961128
Therefore, the lowest common multiple of 247,611,979,264,877 is 239214961128.
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.
247 x 611 x 979 x 264 x 877 = 34207739441304
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.
247 : 1, 13, 19, 247
611 : 1, 13, 47, 611
979 : 1, 11, 89, 979
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,611,979,264,877, is 1.
Now, the common factors can be found like this.
247:13x 19
611:13x 47
979:11x 89
264:2x 2x 2x 3x 11
877:877
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 34207739441304/(1x143)
LCM = 34207739441304/143
LCM = 239214961128
Thus, we can understand that the LCM of 247,611,979,264,877 is 239214961128.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 247, 611, 979, 264, 877
1. What is the LCM of 247, 611, 979, 264, 877?
Answer: LCM of 247, 611, 979, 264, 877 is 239214961128.
2. How to calculate the LCM of 247, 611, 979, 264, 877?
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 247, 611, 979, 264, 877.
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}.