Find the LCM of 486, 734, 474, 297, 316 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 486, 734, 474, 297, 316. So, keep reading to learn more.
Given numbers are 486,734,474,297,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,734,474,297,316 is 309993156.
Find LCM of 486,734,474,297,316 with Prime Factorization
2 | 486, 734, 474, 297, 316 |
3 | 243, 367, 237, 297, 158 |
3 | 81, 367, 79, 99, 158 |
3 | 27, 367, 79, 33, 158 |
79 | 9, 367, 79, 11, 158 |
9, 367, 1, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 79 x 9 x 367 x 1 x 11 x 2 = 309993156
Therefore, the lowest common multiple of 486,734,474,297,316 is 309993156.
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.
486 x 734 x 474 x 297 x 316 = 15869169641952
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
734 : 1, 2, 367, 734
474 : 1, 2, 3, 6, 79, 158, 237, 474
297 : 1, 3, 9, 11, 27, 33, 99, 297
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,734,474,297,316, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
734:2x 367
474:2x 3x 79
297:3x 3x 3x 11
316:2x 2x 79
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 3x 3x 3x 79 = 51192
Therefore, the value for common factors is 51192.
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 = 15869169641952/(1x51192)
LCM = 15869169641952/51192
LCM = 309993156
Thus, we can understand that the LCM of 486,734,474,297,316 is 309993156.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 486, 734, 474, 297, 316?
Answer: LCM of 486, 734, 474, 297, 316 is 309993156.
2. How to calculate the LCM of 486, 734, 474, 297, 316?
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 486, 734, 474, 297, 316.
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}.