Find the LCM of 471, 785, 506, 778, 796 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 471, 785, 506, 778, 796. So, keep reading to learn more.
Given numbers are 471,785,506,778,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,785,506,778,796 is 184490539860.
Find LCM of 471,785,506,778,796 with Prime Factorization
2 | 471, 785, 506, 778, 796 |
157 | 471, 785, 253, 389, 398 |
3, 5, 253, 389, 398 |
Multiply the prime numbers at the bottom and the left side.
2 x 157 x 3 x 5 x 253 x 389 x 398 = 184490539860
Therefore, the lowest common multiple of 471,785,506,778,796 is 184490539860.
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.
471 x 785 x 506 x 778 x 796 = 115860059032080
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.
471 : 1, 3, 157, 471
785 : 1, 5, 157, 785
506 : 1, 2, 11, 22, 23, 46, 253, 506
778 : 1, 2, 389, 778
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,785,506,778,796, is 1.
Now, the common factors can be found like this.
471:3x 157
785:5x 157
506:2x 11x 23
778:2x 389
796:2x 2x 199
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 157 = 628
Therefore, the value for common factors is 628.
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 = 115860059032080/(1x628)
LCM = 115860059032080/628
LCM = 184490539860
Thus, we can understand that the LCM of 471,785,506,778,796 is 184490539860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 785, 506, 778, 796?
Answer: LCM of 471, 785, 506, 778, 796 is 184490539860.
2. How to calculate the LCM of 471, 785, 506, 778, 796?
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 471, 785, 506, 778, 796.
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}.