Find the LCM of 674, 724, 795, 855, 460 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 674, 724, 795, 855, 460. So, keep reading to learn more.
Given numbers are 674,724,795,855,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,724,795,855,460 is 254295273060.
Find LCM of 674,724,795,855,460 with Prime Factorization
2 | 674, 724, 795, 855, 460 |
2 | 337, 362, 795, 855, 230 |
3 | 337, 181, 795, 855, 115 |
5 | 337, 181, 265, 285, 115 |
337, 181, 53, 57, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 337 x 181 x 53 x 57 x 23 = 254295273060
Therefore, the lowest common multiple of 674,724,795,855,460 is 254295273060.
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.
674 x 724 x 795 x 855 x 460 = 152577163836000
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.
674 : 1, 2, 337, 674
724 : 1, 2, 4, 181, 362, 724
795 : 1, 3, 5, 15, 53, 159, 265, 795
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,724,795,855,460, is 1.
Now, the common factors can be found like this.
674:2x 337
724:2x 2x 181
795:3x 5x 53
855:3x 3x 5x 19
460:2x 2x 5x 23
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 5 = 600
Therefore, the value for common factors is 600.
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 = 152577163836000/(1x600)
LCM = 152577163836000/600
LCM = 254295273060
Thus, we can understand that the LCM of 674,724,795,855,460 is 254295273060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 674, 724, 795, 855, 460?
Answer: LCM of 674, 724, 795, 855, 460 is 254295273060.
2. How to calculate the LCM of 674, 724, 795, 855, 460?
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 674, 724, 795, 855, 460.
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}.