Find the LCM of 946, 441, 688, 247, 754 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 946, 441, 688, 247, 754. So, keep reading to learn more.
Given numbers are 946,441,688,247,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,441,688,247,754 is 23906426544.
Find LCM of 946,441,688,247,754 with Prime Factorization
2 | 946, 441, 688, 247, 754 |
13 | 473, 441, 344, 247, 377 |
43 | 473, 441, 344, 19, 29 |
11, 441, 8, 19, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 43 x 11 x 441 x 8 x 19 x 29 = 23906426544
Therefore, the lowest common multiple of 946,441,688,247,754 is 23906426544.
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.
946 x 441 x 688 x 247 x 754 = 53454769752384
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
247 : 1, 13, 19, 247
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,441,688,247,754, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
441:3x 3x 7x 7
688:2x 2x 2x 2x 43
247:13x 19
754:2x 13x 29
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 13x 43 = 2236
Therefore, the value for common factors is 2236.
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 = 53454769752384/(1x2236)
LCM = 53454769752384/2236
LCM = 23906426544
Thus, we can understand that the LCM of 946,441,688,247,754 is 23906426544.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 946, 441, 688, 247, 754?
Answer: LCM of 946, 441, 688, 247, 754 is 23906426544.
2. How to calculate the LCM of 946, 441, 688, 247, 754?
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 946, 441, 688, 247, 754.
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}.