LCM of 702, 149, 420, 256
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 149, 420, 256 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 702, 149, 420, 256. So, keep reading to learn more.
Given numbers are 702,149,420,256
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,149,420,256 is 468599040.
Find LCM of 702,149,420,256 with Prime Factorization
| 2 | 702, 149, 420, 256 |
| 2 | 351, 149, 210, 128 |
| 3 | 351, 149, 105, 64 |
| 117, 149, 35, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 117 x 149 x 35 x 64 = 468599040
Therefore, the lowest common multiple of 702,149,420,256 is 468599040.
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.
702 x 149 x 420 x 256 = 11246376960
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
149 : 1, 149
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,149,420,256, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
149:149
420:2x 2x 3x 5x 7
256:2x 2x 2x 2x 2x 2x 2x 2
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 3 = 24
Therefore, the value for common factors is 24.
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 = 11246376960/(1x24)
LCM = 11246376960/24
LCM = 468599040
Thus, we can understand that the LCM of 702,149,420,256 is 468599040.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 702, 149, 420, 256
1. What is the LCM of 702, 149, 420, 256?
Answer: LCM of 702, 149, 420, 256 is 468599040.
2. How to calculate the LCM of 702, 149, 420, 256?
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 702, 149, 420, 256.
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}.