LCM of 874, 824, 733, 808, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 824, 733, 808, 988 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 874, 824, 733, 808, 988. So, keep reading to learn more.
Given numbers are 874,824,733,808,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,824,733,808,988 is 346559133752.
Find LCM of 874,824,733,808,988 with Prime Factorization
| 2 | 874, 824, 733, 808, 988 |
| 2 | 437, 412, 733, 404, 494 |
| 2 | 437, 206, 733, 202, 247 |
| 19 | 437, 103, 733, 101, 247 |
| 23, 103, 733, 101, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 23 x 103 x 733 x 101 x 13 = 346559133752
Therefore, the lowest common multiple of 874,824,733,808,988 is 346559133752.
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.
874 x 824 x 733 x 808 x 988 = 421415906642432
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
824 : 1, 2, 4, 8, 103, 206, 412, 824
733 : 1, 733
808 : 1, 2, 4, 8, 101, 202, 404, 808
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,824,733,808,988, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
824:2x 2x 2x 103
733:733
808:2x 2x 2x 101
988:2x 2x 13x 19
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 2x 2x 19 = 1216
Therefore, the value for common factors is 1216.
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 = 421415906642432/(1x1216)
LCM = 421415906642432/1216
LCM = 346559133752
Thus, we can understand that the LCM of 874,824,733,808,988 is 346559133752.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 874, 824, 733, 808, 988
1. What is the LCM of 874, 824, 733, 808, 988?
Answer: LCM of 874, 824, 733, 808, 988 is 346559133752.
2. How to calculate the LCM of 874, 824, 733, 808, 988?
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 874, 824, 733, 808, 988.
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}.