Find the LCM of 133, 715, 274, 506 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 133, 715, 274, 506. So, keep reading to learn more.
Given numbers are 133,715,274,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,715,274,506 is 599288690.
Find LCM of 133,715,274,506 with Prime Factorization
2 | 133, 715, 274, 506 |
11 | 133, 715, 137, 253 |
133, 65, 137, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 133 x 65 x 137 x 23 = 599288690
Therefore, the lowest common multiple of 133,715,274,506 is 599288690.
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.
133 x 715 x 274 x 506 = 13184351180
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.
133 : 1, 7, 19, 133
715 : 1, 5, 11, 13, 55, 65, 143, 715
274 : 1, 2, 137, 274
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,715,274,506, is 1.
Now, the common factors can be found like this.
133:7x 19
715:5x 11x 13
274:2x 137
506:2x 11x 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 11 = 22
Therefore, the value for common factors is 22.
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 = 13184351180/(1x22)
LCM = 13184351180/22
LCM = 599288690
Thus, we can understand that the LCM of 133,715,274,506 is 599288690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 715, 274, 506?
Answer: LCM of 133, 715, 274, 506 is 599288690.
2. How to calculate the LCM of 133, 715, 274, 506?
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 133, 715, 274, 506.
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}.