Find the LCM of 815, 767, 429, 103, 473 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 815, 767, 429, 103, 473. So, keep reading to learn more.
Given numbers are 815,767,429,103,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,767,429,103,473 is 91363471485.
Find LCM of 815,767,429,103,473 with Prime Factorization
11 | 815, 767, 429, 103, 473 |
13 | 815, 767, 39, 103, 43 |
815, 59, 3, 103, 43 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 815 x 59 x 3 x 103 x 43 = 91363471485
Therefore, the lowest common multiple of 815,767,429,103,473 is 91363471485.
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.
815 x 767 x 429 x 103 x 473 = 13064976422355
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.
815 : 1, 5, 163, 815
767 : 1, 13, 59, 767
429 : 1, 3, 11, 13, 33, 39, 143, 429
103 : 1, 103
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,767,429,103,473, is 1.
Now, the common factors can be found like this.
815:5x 163
767:13x 59
429:3x 11x 13
103:103
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 13064976422355/(1x143)
LCM = 13064976422355/143
LCM = 91363471485
Thus, we can understand that the LCM of 815,767,429,103,473 is 91363471485.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 815, 767, 429, 103, 473?
Answer: LCM of 815, 767, 429, 103, 473 is 91363471485.
2. How to calculate the LCM of 815, 767, 429, 103, 473?
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 815, 767, 429, 103, 473.
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}.