LCM of 594, 418, 218, 981, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 594, 418, 218, 981, 759 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 594, 418, 218, 981, 759. So, keep reading to learn more.
Given numbers are 594,418,218,981,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,418,218,981,759 is 28294002.
Find LCM of 594,418,218,981,759 with Prime Factorization
| 2 | 594, 418, 218, 981, 759 |
| 3 | 297, 209, 109, 981, 759 |
| 3 | 99, 209, 109, 327, 253 |
| 11 | 33, 209, 109, 109, 253 |
| 109 | 3, 19, 109, 109, 23 |
| 3, 19, 1, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 109 x 3 x 19 x 1 x 1 x 23 = 28294002
Therefore, the lowest common multiple of 594,418,218,981,759 is 28294002.
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.
594 x 418 x 218 x 981 x 759 = 40302315976824
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.
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
418 : 1, 2, 11, 19, 22, 38, 209, 418
218 : 1, 2, 109, 218
981 : 1, 3, 9, 109, 327, 981
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,418,218,981,759, is 1.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
418:2x 11x 19
218:2x 109
981:3x 3x 109
759:3x 11x 23
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 11x 11x 109 = 1424412
Therefore, the value for common factors is 1424412.
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 = 40302315976824/(1x1424412)
LCM = 40302315976824/1424412
LCM = 28294002
Thus, we can understand that the LCM of 594,418,218,981,759 is 28294002.
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FAQs on LCM of 594, 418, 218, 981, 759
1. What is the LCM of 594, 418, 218, 981, 759?
Answer: LCM of 594, 418, 218, 981, 759 is 28294002.
2. How to calculate the LCM of 594, 418, 218, 981, 759?
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 594, 418, 218, 981, 759.
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}.