LCM of 918, 542, 384, 972, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 918, 542, 384, 972, 209 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 918, 542, 384, 972, 209. So, keep reading to learn more.
Given numbers are 918,542,384,972,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,542,384,972,209 is 29948890752.
Find LCM of 918,542,384,972,209 with Prime Factorization
| 2 | 918, 542, 384, 972, 209 |
| 2 | 459, 271, 192, 486, 209 |
| 3 | 459, 271, 96, 243, 209 |
| 3 | 153, 271, 32, 81, 209 |
| 3 | 51, 271, 32, 27, 209 |
| 17, 271, 32, 9, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 17 x 271 x 32 x 9 x 209 = 29948890752
Therefore, the lowest common multiple of 918,542,384,972,209 is 29948890752.
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.
918 x 542 x 384 x 972 x 209 = 38813762414592
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.
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
542 : 1, 2, 271, 542
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,542,384,972,209, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
542:2x 271
384:2x 2x 2x 2x 2x 2x 2x 3
972:2x 2x 3x 3x 3x 3x 3
209:11x 19
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 2x 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 38813762414592/(1x1296)
LCM = 38813762414592/1296
LCM = 29948890752
Thus, we can understand that the LCM of 918,542,384,972,209 is 29948890752.
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FAQs on LCM of 918, 542, 384, 972, 209
1. What is the LCM of 918, 542, 384, 972, 209?
Answer: LCM of 918, 542, 384, 972, 209 is 29948890752.
2. How to calculate the LCM of 918, 542, 384, 972, 209?
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 918, 542, 384, 972, 209.
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}.