LCM of 690, 824, 874, 629, 277
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 824, 874, 629, 277 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 690, 824, 874, 629, 277. So, keep reading to learn more.
Given numbers are 690,824,874,629,277
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,824,874,629,277 is 941088187560.
Find LCM of 690,824,874,629,277 with Prime Factorization
| 2 | 690, 824, 874, 629, 277 |
| 23 | 345, 412, 437, 629, 277 |
| 15, 412, 19, 629, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 15 x 412 x 19 x 629 x 277 = 941088187560
Therefore, the lowest common multiple of 690,824,874,629,277 is 941088187560.
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.
690 x 824 x 874 x 629 x 277 = 86580113255520
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
824 : 1, 2, 4, 8, 103, 206, 412, 824
874 : 1, 2, 19, 23, 38, 46, 437, 874
629 : 1, 17, 37, 629
277 : 1, 277
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,824,874,629,277, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
824:2x 2x 2x 103
874:2x 19x 23
629:17x 37
277:277
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 23 = 92
Therefore, the value for common factors is 92.
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 = 86580113255520/(1x92)
LCM = 86580113255520/92
LCM = 941088187560
Thus, we can understand that the LCM of 690,824,874,629,277 is 941088187560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 690, 824, 874, 629, 277
1. What is the LCM of 690, 824, 874, 629, 277?
Answer: LCM of 690, 824, 874, 629, 277 is 941088187560.
2. How to calculate the LCM of 690, 824, 874, 629, 277?
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 690, 824, 874, 629, 277.
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}.