Find the LCM of 773, 540, 995, 418, 898 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 773, 540, 995, 418, 898. So, keep reading to learn more.
Given numbers are 773,540,995,418,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,540,995,418,898 is 7795050933780.
Find LCM of 773,540,995,418,898 with Prime Factorization
2 | 773, 540, 995, 418, 898 |
5 | 773, 270, 995, 209, 449 |
773, 54, 199, 209, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 773 x 54 x 199 x 209 x 449 = 7795050933780
Therefore, the lowest common multiple of 773,540,995,418,898 is 7795050933780.
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.
773 x 540 x 995 x 418 x 898 = 155901018675600
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.
773 : 1, 773
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
995 : 1, 5, 199, 995
418 : 1, 2, 11, 19, 22, 38, 209, 418
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,540,995,418,898, is 1.
Now, the common factors can be found like this.
773:773
540:2x 2x 3x 3x 3x 5
995:5x 199
418:2x 11x 19
898:2x 449
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 5 = 20
Therefore, the value for common factors is 20.
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 = 155901018675600/(1x20)
LCM = 155901018675600/20
LCM = 7795050933780
Thus, we can understand that the LCM of 773,540,995,418,898 is 7795050933780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 773, 540, 995, 418, 898?
Answer: LCM of 773, 540, 995, 418, 898 is 7795050933780.
2. How to calculate the LCM of 773, 540, 995, 418, 898?
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 773, 540, 995, 418, 898.
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}.