LCM of 946, 979, 591, 220, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 979, 591, 220, 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 946, 979, 591, 220, 618. So, keep reading to learn more.
Given numbers are 946,979,591,220,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,979,591,220,618 is 51251413620.
Find LCM of 946,979,591,220,618 with Prime Factorization
| 2 | 946, 979, 591, 220, 618 |
| 3 | 473, 979, 591, 110, 309 |
| 11 | 473, 979, 197, 110, 103 |
| 43, 89, 197, 10, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 43 x 89 x 197 x 10 x 103 = 51251413620
Therefore, the lowest common multiple of 946,979,591,220,618 is 51251413620.
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.
946 x 979 x 591 x 220 x 618 = 74417052576240
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
979 : 1, 11, 89, 979
591 : 1, 3, 197, 591
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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 946,979,591,220,618, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
979:11x 89
591:3x 197
220:2x 2x 5x 11
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 3x 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 74417052576240/(1x1452)
LCM = 74417052576240/1452
LCM = 51251413620
Thus, we can understand that the LCM of 946,979,591,220,618 is 51251413620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 946, 979, 591, 220, 618
1. What is the LCM of 946, 979, 591, 220, 618?
Answer: LCM of 946, 979, 591, 220, 618 is 51251413620.
2. How to calculate the LCM of 946, 979, 591, 220, 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 946, 979, 591, 220, 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}.