Find the LCM of 974, 928, 176, 563, 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 974, 928, 176, 563, 754. So, keep reading to learn more.
Given numbers are 974,928,176,563,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,928,176,563,754 is 36384915424.
Find LCM of 974,928,176,563,754 with Prime Factorization
2 | 974, 928, 176, 563, 754 |
2 | 487, 464, 88, 563, 377 |
2 | 487, 232, 44, 563, 377 |
2 | 487, 116, 22, 563, 377 |
29 | 487, 58, 11, 563, 377 |
487, 2, 11, 563, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 487 x 2 x 11 x 563 x 13 = 36384915424
Therefore, the lowest common multiple of 974,928,176,563,754 is 36384915424.
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.
974 x 928 x 176 x 563 x 754 = 67530403026944
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.
974 : 1, 2, 487, 974
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
563 : 1, 563
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 974,928,176,563,754, is 1.
Now, the common factors can be found like this.
974:2x 487
928:2x 2x 2x 2x 2x 29
176:2x 2x 2x 2x 11
563:563
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 2x 2x 2x 2x 29 = 1856
Therefore, the value for common factors is 1856.
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 = 67530403026944/(1x1856)
LCM = 67530403026944/1856
LCM = 36384915424
Thus, we can understand that the LCM of 974,928,176,563,754 is 36384915424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 974, 928, 176, 563, 754?
Answer: LCM of 974, 928, 176, 563, 754 is 36384915424.
2. How to calculate the LCM of 974, 928, 176, 563, 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 974, 928, 176, 563, 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}.