Find the LCM of 754, 178, 546, 225, 598 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, 178, 546, 225, 598. So, keep reading to learn more.
Given numbers are 754,178,546,225,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,178,546,225,598 is 2430914850.
Find LCM of 754,178,546,225,598 with Prime Factorization
2 | 754, 178, 546, 225, 598 |
3 | 377, 89, 273, 225, 299 |
13 | 377, 89, 91, 75, 299 |
29, 89, 7, 75, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 89 x 7 x 75 x 23 = 2430914850
Therefore, the lowest common multiple of 754,178,546,225,598 is 2430914850.
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 178 x 546 x 225 x 598 = 9859790631600
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
178 : 1, 2, 89, 178
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,178,546,225,598, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
178:2x 89
546:2x 3x 7x 13
225:3x 3x 5x 5
598:2x 13x 23
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 3x 13x 13 = 4056
Therefore, the value for common factors is 4056.
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 = 9859790631600/(1x4056)
LCM = 9859790631600/4056
LCM = 2430914850
Thus, we can understand that the LCM of 754,178,546,225,598 is 2430914850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 754, 178, 546, 225, 598?
Answer: LCM of 754, 178, 546, 225, 598 is 2430914850.
2. How to calculate the LCM of 754, 178, 546, 225, 598?
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, 178, 546, 225, 598.
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}.