LCM of 754, 247, 416, 381
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 247, 416, 381 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 754, 247, 416, 381. So, keep reading to learn more.
Given numbers are 754,247,416,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,247,416,381 is 87331296.
Find LCM of 754,247,416,381 with Prime Factorization
| 2 | 754, 247, 416, 381 |
| 13 | 377, 247, 208, 381 |
| 29, 19, 16, 381 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 29 x 19 x 16 x 381 = 87331296
Therefore, the lowest common multiple of 754,247,416,381 is 87331296.
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.
754 x 247 x 416 x 381 = 29517978048
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
247 : 1, 13, 19, 247
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,247,416,381, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
247:13x 19
416:2x 2x 2x 2x 2x 13
381:3x 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 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 29517978048/(1x338)
LCM = 29517978048/338
LCM = 87331296
Thus, we can understand that the LCM of 754,247,416,381 is 87331296.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 754, 247, 416, 381
1. What is the LCM of 754, 247, 416, 381?
Answer: LCM of 754, 247, 416, 381 is 87331296.
2. How to calculate the LCM of 754, 247, 416, 381?
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 754, 247, 416, 381.
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}.