LCM of 507, 208, 748, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 208, 748, 240 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, 208, 748, 240. So, keep reading to learn more.
Given numbers are 507,208,748,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,208,748,240 is 7584720.
Find LCM of 507,208,748,240 with Prime Factorization
| 2 | 507, 208, 748, 240 |
| 2 | 507, 104, 374, 120 |
| 2 | 507, 52, 187, 60 |
| 2 | 507, 26, 187, 30 |
| 3 | 507, 13, 187, 15 |
| 13 | 169, 13, 187, 5 |
| 1, 13, 187, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 1 x 13 x 187 x 5 = 7584720
Therefore, the lowest common multiple of 507,208,748,240 is 7584720.
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 208 x 748 x 240 = 18931461120
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,208,748,240, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
208:2x 2x 2x 2x 13
748:2x 2x 11x 17
240:2x 2x 2x 2x 3x 5
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 2x 2x 2x 2x 3x 13 = 2496
Therefore, the value for common factors is 2496.
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 = 18931461120/(1x2496)
LCM = 18931461120/2496
LCM = 7584720
Thus, we can understand that the LCM of 507,208,748,240 is 7584720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 507, 208, 748, 240
1. What is the LCM of 507, 208, 748, 240?
Answer: LCM of 507, 208, 748, 240 is 7584720.
2. How to calculate the LCM of 507, 208, 748, 240?
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, 208, 748, 240.
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}.