Find the LCM of 506, 150, 374, 298, 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 506, 150, 374, 298, 273. So, keep reading to learn more.
Given numbers are 506,150,374,298,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,150,374,298,273 is 8747588850.
Find LCM of 506,150,374,298,273 with Prime Factorization
2 | 506, 150, 374, 298, 273 |
3 | 253, 75, 187, 149, 273 |
11 | 253, 25, 187, 149, 91 |
23, 25, 17, 149, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 25 x 17 x 149 x 91 = 8747588850
Therefore, the lowest common multiple of 506,150,374,298,273 is 8747588850.
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.
506 x 150 x 374 x 298 x 273 = 2309363456400
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
374 : 1, 2, 11, 17, 22, 34, 187, 374
298 : 1, 2, 149, 298
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 506,150,374,298,273, is 1.
Now, the common factors can be found like this.
506:2x 11x 23
150:2x 3x 5x 5
374:2x 11x 17
298:2x 149
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 2x 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 2309363456400/(1x264)
LCM = 2309363456400/264
LCM = 8747588850
Thus, we can understand that the LCM of 506,150,374,298,273 is 8747588850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 506, 150, 374, 298, 273?
Answer: LCM of 506, 150, 374, 298, 273 is 8747588850.
2. How to calculate the LCM of 506, 150, 374, 298, 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 506, 150, 374, 298, 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}.