LCM of 508, 488, 736, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 488, 736, 968 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 508, 488, 736, 968. So, keep reading to learn more.
Given numbers are 508,488,736,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,488,736,968 is 689916832.
Find LCM of 508,488,736,968 with Prime Factorization
| 2 | 508, 488, 736, 968 |
| 2 | 254, 244, 368, 484 |
| 2 | 127, 122, 184, 242 |
| 127, 61, 92, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 127 x 61 x 92 x 121 = 689916832
Therefore, the lowest common multiple of 508,488,736,968 is 689916832.
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.
508 x 488 x 736 x 968 = 176618708992
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.
508 : 1, 2, 4, 127, 254, 508
488 : 1, 2, 4, 8, 61, 122, 244, 488
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,488,736,968, is 4.
Now, the common factors can be found like this.
508:2x 2x 127
488:2x 2x 2x 61
736:2x 2x 2x 2x 2x 23
968:2x 2x 2x 11x 11
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 2 = 64
Therefore, the value for common factors is 64.
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 = 176618708992/(4x64)
LCM = 176618708992/256
LCM = 689916832
Thus, we can understand that the LCM of 508,488,736,968 is 689916832.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 508, 488, 736, 968
1. What is the LCM of 508, 488, 736, 968?
Answer: LCM of 508, 488, 736, 968 is 689916832.
2. How to calculate the LCM of 508, 488, 736, 968?
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 508, 488, 736, 968.
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}.