LCM of 416, 208, 149, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 208, 149, 762 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 416, 208, 149, 762. So, keep reading to learn more.
Given numbers are 416,208,149,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,208,149,762 is 23615904.
Find LCM of 416,208,149,762 with Prime Factorization
| 2 | 416, 208, 149, 762 |
| 2 | 208, 104, 149, 381 |
| 2 | 52, 104, 149, 381 |
| 2 | 26, 52, 149, 381 |
| 13 | 13, 26, 149, 381 |
| 1, 2, 149, 381 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 1 x 2 x 149 x 381 = 23615904
Therefore, the lowest common multiple of 416,208,149,762 is 23615904.
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.
416 x 208 x 149 x 762 = 9824216064
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
149 : 1, 149
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,208,149,762, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
208:2x 2x 2x 2x 13
149:149
762:2x 3x 127
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 13 = 416
Therefore, the value for common factors is 416.
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 = 9824216064/(1x416)
LCM = 9824216064/416
LCM = 23615904
Thus, we can understand that the LCM of 416,208,149,762 is 23615904.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 416, 208, 149, 762
1. What is the LCM of 416, 208, 149, 762?
Answer: LCM of 416, 208, 149, 762 is 23615904.
2. How to calculate the LCM of 416, 208, 149, 762?
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 416, 208, 149, 762.
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}.