Find the LCM of 110, 735, 318, 424, 674 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 110, 735, 318, 424, 674. So, keep reading to learn more.
Given numbers are 110,735,318,424,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,735,318,424,674 is 1155249480.
Find LCM of 110,735,318,424,674 with Prime Factorization
2 | 110, 735, 318, 424, 674 |
3 | 55, 735, 159, 212, 337 |
5 | 55, 245, 53, 212, 337 |
53 | 11, 49, 53, 212, 337 |
11, 49, 1, 4, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 53 x 11 x 49 x 1 x 4 x 337 = 1155249480
Therefore, the lowest common multiple of 110,735,318,424,674 is 1155249480.
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.
110 x 735 x 318 x 424 x 674 = 7347386692800
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
318 : 1, 2, 3, 6, 53, 106, 159, 318
424 : 1, 2, 4, 8, 53, 106, 212, 424
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,735,318,424,674, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
735:3x 5x 7x 7
318:2x 3x 53
424:2x 2x 2x 53
674:2x 337
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 3x 5x 53 = 6360
Therefore, the value for common factors is 6360.
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 = 7347386692800/(1x6360)
LCM = 7347386692800/6360
LCM = 1155249480
Thus, we can understand that the LCM of 110,735,318,424,674 is 1155249480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 110, 735, 318, 424, 674?
Answer: LCM of 110, 735, 318, 424, 674 is 1155249480.
2. How to calculate the LCM of 110, 735, 318, 424, 674?
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 110, 735, 318, 424, 674.
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}.