Find the LCM of 467, 722, 748, 718, 677 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 467, 722, 748, 718, 677. So, keep reading to learn more.
Given numbers are 467,722,748,718,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,722,748,718,677 is 30648469900268.
Find LCM of 467,722,748,718,677 with Prime Factorization
2 | 467, 722, 748, 718, 677 |
467, 361, 374, 359, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 467 x 361 x 374 x 359 x 677 = 30648469900268
Therefore, the lowest common multiple of 467,722,748,718,677 is 30648469900268.
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.
467 x 722 x 748 x 718 x 677 = 122593879601072
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.
467 : 1, 467
722 : 1, 2, 19, 38, 361, 722
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
718 : 1, 2, 359, 718
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,722,748,718,677, is 1.
Now, the common factors can be found like this.
467:467
722:2x 19x 19
748:2x 2x 11x 17
718:2x 359
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 122593879601072/(1x4)
LCM = 122593879601072/4
LCM = 30648469900268
Thus, we can understand that the LCM of 467,722,748,718,677 is 30648469900268.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 467, 722, 748, 718, 677?
Answer: LCM of 467, 722, 748, 718, 677 is 30648469900268.
2. How to calculate the LCM of 467, 722, 748, 718, 677?
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 467, 722, 748, 718, 677.
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}.