LCM of 507, 878, 749, 760, 620
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 878, 749, 760, 620 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, 878, 749, 760, 620. So, keep reading to learn more.
Given numbers are 507,878,749,760,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,878,749,760,620 is 3927621090120.
Find LCM of 507,878,749,760,620 with Prime Factorization
| 2 | 507, 878, 749, 760, 620 |
| 2 | 507, 439, 749, 380, 310 |
| 5 | 507, 439, 749, 190, 155 |
| 507, 439, 749, 38, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 507 x 439 x 749 x 38 x 31 = 3927621090120
Therefore, the lowest common multiple of 507,878,749,760,620 is 3927621090120.
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 878 x 749 x 760 x 620 = 157104843604800
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
878 : 1, 2, 439, 878
749 : 1, 7, 107, 749
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,878,749,760,620, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
878:2x 439
749:7x 107
760:2x 2x 2x 5x 19
620:2x 2x 5x 31
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 5 = 40
Therefore, the value for common factors is 40.
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 = 157104843604800/(1x40)
LCM = 157104843604800/40
LCM = 3927621090120
Thus, we can understand that the LCM of 507,878,749,760,620 is 3927621090120.
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, 878, 749, 760, 620
1. What is the LCM of 507, 878, 749, 760, 620?
Answer: LCM of 507, 878, 749, 760, 620 is 3927621090120.
2. How to calculate the LCM of 507, 878, 749, 760, 620?
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, 878, 749, 760, 620.
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}.