Find the LCM of 107, 724, 754, 325, 273 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 107, 724, 754, 325, 273. So, keep reading to learn more.
Given numbers are 107,724,754,325,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,724,754,325,273 is 15332853900.
Find LCM of 107,724,754,325,273 with Prime Factorization
2 | 107, 724, 754, 325, 273 |
13 | 107, 362, 377, 325, 273 |
107, 362, 29, 25, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 107 x 362 x 29 x 25 x 21 = 15332853900
Therefore, the lowest common multiple of 107,724,754,325,273 is 15332853900.
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.
107 x 724 x 754 x 325 x 273 = 5182504618200
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.
107 : 1, 107
724 : 1, 2, 4, 181, 362, 724
754 : 1, 2, 13, 26, 29, 58, 377, 754
325 : 1, 5, 13, 25, 65, 325
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,724,754,325,273, is 1.
Now, the common factors can be found like this.
107:107
724:2x 2x 181
754:2x 13x 29
325:5x 5x 13
273:3x 7x 13
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 = 5182504618200/(1x338)
LCM = 5182504618200/338
LCM = 15332853900
Thus, we can understand that the LCM of 107,724,754,325,273 is 15332853900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 724, 754, 325, 273?
Answer: LCM of 107, 724, 754, 325, 273 is 15332853900.
2. How to calculate the LCM of 107, 724, 754, 325, 273?
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 107, 724, 754, 325, 273.
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}.