LCM of 718, 986, 552, 213, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 718, 986, 552, 213, 813 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 718, 986, 552, 213, 813. So, keep reading to learn more.
Given numbers are 718,986,552,213,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,986,552,213,813 is 1879784590584.
Find LCM of 718,986,552,213,813 with Prime Factorization
| 2 | 718, 986, 552, 213, 813 |
| 3 | 359, 493, 276, 213, 813 |
| 359, 493, 92, 71, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 359 x 493 x 92 x 71 x 271 = 1879784590584
Therefore, the lowest common multiple of 718,986,552,213,813 is 1879784590584.
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.
718 x 986 x 552 x 213 x 813 = 67672245261024
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.
718 : 1, 2, 359, 718
986 : 1, 2, 17, 29, 34, 58, 493, 986
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
213 : 1, 3, 71, 213
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,986,552,213,813, is 1.
Now, the common factors can be found like this.
718:2x 359
986:2x 17x 29
552:2x 2x 2x 3x 23
213:3x 71
813:3x 271
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 67672245261024/(1x36)
LCM = 67672245261024/36
LCM = 1879784590584
Thus, we can understand that the LCM of 718,986,552,213,813 is 1879784590584.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 718, 986, 552, 213, 813
1. What is the LCM of 718, 986, 552, 213, 813?
Answer: LCM of 718, 986, 552, 213, 813 is 1879784590584.
2. How to calculate the LCM of 718, 986, 552, 213, 813?
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 718, 986, 552, 213, 813.
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}.