LCM of 981, 207, 414, 390, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 207, 414, 390, 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 981, 207, 414, 390, 618. So, keep reading to learn more.
Given numbers are 981,207,414,390,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,207,414,390,618 is 302118570.
Find LCM of 981,207,414,390,618 with Prime Factorization
| 2 | 981, 207, 414, 390, 618 |
| 3 | 981, 207, 207, 195, 309 |
| 3 | 327, 69, 69, 65, 103 |
| 23 | 109, 23, 23, 65, 103 |
| 109, 1, 1, 65, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 109 x 1 x 1 x 65 x 103 = 302118570
Therefore, the lowest common multiple of 981,207,414,390,618 is 302118570.
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.
981 x 207 x 414 x 390 x 618 = 20262488252760
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.
981 : 1, 3, 9, 109, 327, 981
207 : 1, 3, 9, 23, 69, 207
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
618 : 1, 2, 3, 6, 103, 206, 309, 618
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,207,414,390,618, is 3.
Now, the common factors can be found like this.
981:3x 3x 109
207:3x 3x 23
414:2x 3x 3x 23
390:2x 3x 5x 13
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 3x 3x 3x 3x 23 = 22356
Therefore, the value for common factors is 22356.
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 = 20262488252760/(3x22356)
LCM = 20262488252760/67068
LCM = 302118570
Thus, we can understand that the LCM of 981,207,414,390,618 is 302118570.
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FAQs on LCM of 981, 207, 414, 390, 618
1. What is the LCM of 981, 207, 414, 390, 618?
Answer: LCM of 981, 207, 414, 390, 618 is 302118570.
2. How to calculate the LCM of 981, 207, 414, 390, 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 981, 207, 414, 390, 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}.