Find the LCM of 749, 797, 797, 153, 146 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 749, 797, 797, 153, 146. So, keep reading to learn more.
Given numbers are 749,797,797,153,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,797,797,153,146 is 13334736114.
Find LCM of 749,797,797,153,146 with Prime Factorization
797 | 749, 797, 797, 153, 146 |
749, 1, 1, 153, 146 |
Multiply the prime numbers at the bottom and the left side.
797 x 749 x 1 x 1 x 153 x 146 = 13334736114
Therefore, the lowest common multiple of 749,797,797,153,146 is 13334736114.
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.
749 x 797 x 797 x 153 x 146 = 10627784682858
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.
749 : 1, 7, 107, 749
797 : 1, 797
797 : 1, 797
153 : 1, 3, 9, 17, 51, 153
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,797,797,153,146, is 1.
Now, the common factors can be found like this.
749:7x 107
797:797
797:797
153:3x 3x 17
146:2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
797 = 797
Therefore, the value for common factors is 797.
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 = 10627784682858/(1x797)
LCM = 10627784682858/797
LCM = 13334736114
Thus, we can understand that the LCM of 749,797,797,153,146 is 13334736114.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 749, 797, 797, 153, 146?
Answer: LCM of 749, 797, 797, 153, 146 is 13334736114.
2. How to calculate the LCM of 749, 797, 797, 153, 146?
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 749, 797, 797, 153, 146.
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}.