LCM of 103, 270, 364, 306, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 270, 364, 306, 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 103, 270, 364, 306, 618. So, keep reading to learn more.
Given numbers are 103,270,364,306,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,270,364,306,618 is 86044140.
Find LCM of 103,270,364,306,618 with Prime Factorization
| 2 | 103, 270, 364, 306, 618 |
| 3 | 103, 135, 182, 153, 309 |
| 3 | 103, 45, 182, 51, 103 |
| 103 | 103, 15, 182, 17, 103 |
| 1, 15, 182, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 103 x 1 x 15 x 182 x 17 x 1 = 86044140
Therefore, the lowest common multiple of 103,270,364,306,618 is 86044140.
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.
103 x 270 x 364 x 306 x 618 = 1914310026720
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.
103 : 1, 103
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,270,364,306,618, is 1.
Now, the common factors can be found like this.
103:103
270:2x 3x 3x 3x 5
364:2x 2x 7x 13
306:2x 3x 3x 17
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 3x 3x 103 = 22248
Therefore, the value for common factors is 22248.
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 = 1914310026720/(1x22248)
LCM = 1914310026720/22248
LCM = 86044140
Thus, we can understand that the LCM of 103,270,364,306,618 is 86044140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 103, 270, 364, 306, 618
1. What is the LCM of 103, 270, 364, 306, 618?
Answer: LCM of 103, 270, 364, 306, 618 is 86044140.
2. How to calculate the LCM of 103, 270, 364, 306, 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 103, 270, 364, 306, 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}.