LCM of 477, 491, 689, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 491, 689, 754 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 477, 491, 689, 754. So, keep reading to learn more.
Given numbers are 477,491,689,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,491,689,754 is 176592078.
Find LCM of 477,491,689,754 with Prime Factorization
| 13 | 477, 491, 689, 754 |
| 53 | 477, 491, 53, 58 |
| 9, 491, 1, 58 |
Multiply the prime numbers at the bottom and the left side.
13 x 53 x 9 x 491 x 1 x 58 = 176592078
Therefore, the lowest common multiple of 477,491,689,754 is 176592078.
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.
477 x 491 x 689 x 754 = 121671941742
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.
477 : 1, 3, 9, 53, 159, 477
491 : 1, 491
689 : 1, 13, 53, 689
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,491,689,754, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
491:491
689:13x 53
754:2x 13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 53 = 689
Therefore, the value for common factors is 689.
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 = 121671941742/(1x689)
LCM = 121671941742/689
LCM = 176592078
Thus, we can understand that the LCM of 477,491,689,754 is 176592078.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 477, 491, 689, 754
1. What is the LCM of 477, 491, 689, 754?
Answer: LCM of 477, 491, 689, 754 is 176592078.
2. How to calculate the LCM of 477, 491, 689, 754?
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 477, 491, 689, 754.
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}.