Find the LCM of 506, 396, 496, 618 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, 396, 496, 618. So, keep reading to learn more.
Given numbers are 506,396,496,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,396,496,618 is 116327376.
Find LCM of 506,396,496,618 with Prime Factorization
2 | 506, 396, 496, 618 |
2 | 253, 198, 248, 309 |
3 | 253, 99, 124, 309 |
11 | 253, 33, 124, 103 |
23, 3, 124, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 23 x 3 x 124 x 103 = 116327376
Therefore, the lowest common multiple of 506,396,496,618 is 116327376.
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 396 x 496 x 618 = 61420854528
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
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
618 : 1, 2, 3, 6, 103, 206, 309, 618
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,396,496,618, is 2.
Now, the common factors can be found like this.
506:2x 11x 23
396:2x 2x 3x 3x 11
496:2x 2x 2x 2x 31
618:2x 3x 103
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 = 61420854528/(2x264)
LCM = 61420854528/528
LCM = 116327376
Thus, we can understand that the LCM of 506,396,496,618 is 116327376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 506, 396, 496, 618?
Answer: LCM of 506, 396, 496, 618 is 116327376.
2. How to calculate the LCM of 506, 396, 496, 618?
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, 396, 496, 618.
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}.