Find the LCM of 507, 517, 314, 140 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 507, 517, 314, 140. So, keep reading to learn more.
Given numbers are 507,517,314,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,517,314,140 is 5761375620.
Find LCM of 507,517,314,140 with Prime Factorization
2 | 507, 517, 314, 140 |
507, 517, 157, 70 |
Multiply the prime numbers at the bottom and the left side.
2 x 507 x 517 x 157 x 70 = 5761375620
Therefore, the lowest common multiple of 507,517,314,140 is 5761375620.
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.
507 x 517 x 314 x 140 = 11522751240
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.
507 : 1, 3, 13, 39, 169, 507
517 : 1, 11, 47, 517
314 : 1, 2, 157, 314
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,517,314,140, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
517:11x 47
314:2x 157
140:2x 2x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 11522751240/(1x2)
LCM = 11522751240/2
LCM = 5761375620
Thus, we can understand that the LCM of 507,517,314,140 is 5761375620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 507, 517, 314, 140?
Answer: LCM of 507, 517, 314, 140 is 5761375620.
2. How to calculate the LCM of 507, 517, 314, 140?
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 507, 517, 314, 140.
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}.