Find the LCM of 554, 926, 306, 490, 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 554, 926, 306, 490, 618. So, keep reading to learn more.
Given numbers are 554,926,306,490,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,926,306,490,618 is 990342679410.
Find LCM of 554,926,306,490,618 with Prime Factorization
2 | 554, 926, 306, 490, 618 |
3 | 277, 463, 153, 245, 309 |
277, 463, 51, 245, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 277 x 463 x 51 x 245 x 103 = 990342679410
Therefore, the lowest common multiple of 554,926,306,490,618 is 990342679410.
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.
554 x 926 x 306 x 490 x 618 = 47536448611680
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.
554 : 1, 2, 277, 554
926 : 1, 2, 463, 926
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
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 554,926,306,490,618, is 2.
Now, the common factors can be found like this.
554:2x 277
926:2x 463
306:2x 3x 3x 17
490:2x 5x 7x 7
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 3 = 24
Therefore, the value for common factors is 24.
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 = 47536448611680/(2x24)
LCM = 47536448611680/48
LCM = 990342679410
Thus, we can understand that the LCM of 554,926,306,490,618 is 990342679410.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 554, 926, 306, 490, 618?
Answer: LCM of 554, 926, 306, 490, 618 is 990342679410.
2. How to calculate the LCM of 554, 926, 306, 490, 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 554, 926, 306, 490, 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}.