LCM of 855, 358, 840, 189, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 358, 840, 189, 204 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 855, 358, 840, 189, 204. So, keep reading to learn more.
Given numbers are 855,358,840,189,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,358,840,189,204 is 437096520.
Find LCM of 855,358,840,189,204 with Prime Factorization
| 2 | 855, 358, 840, 189, 204 |
| 2 | 855, 179, 420, 189, 102 |
| 3 | 855, 179, 210, 189, 51 |
| 3 | 285, 179, 70, 63, 17 |
| 5 | 95, 179, 70, 21, 17 |
| 7 | 19, 179, 14, 21, 17 |
| 19, 179, 2, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 19 x 179 x 2 x 3 x 17 = 437096520
Therefore, the lowest common multiple of 855,358,840,189,204 is 437096520.
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.
855 x 358 x 840 x 189 x 204 = 9913349073600
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
358 : 1, 2, 179, 358
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
189 : 1, 3, 7, 9, 21, 27, 63, 189
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,358,840,189,204, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
358:2x 179
840:2x 2x 2x 3x 5x 7
189:3x 3x 3x 7
204:2x 2x 3x 17
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 3x 5x 7 = 22680
Therefore, the value for common factors is 22680.
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 = 9913349073600/(1x22680)
LCM = 9913349073600/22680
LCM = 437096520
Thus, we can understand that the LCM of 855,358,840,189,204 is 437096520.
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FAQs on LCM of 855, 358, 840, 189, 204
1. What is the LCM of 855, 358, 840, 189, 204?
Answer: LCM of 855, 358, 840, 189, 204 is 437096520.
2. How to calculate the LCM of 855, 358, 840, 189, 204?
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 855, 358, 840, 189, 204.
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}.