LCM of 203, 938, 456, 918, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 203, 938, 456, 918, 270 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 203, 938, 456, 918, 270. So, keep reading to learn more.
Given numbers are 203,938,456,918,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,938,456,918,270 is 4744572840.
Find LCM of 203,938,456,918,270 with Prime Factorization
| 2 | 203, 938, 456, 918, 270 |
| 3 | 203, 469, 228, 459, 135 |
| 3 | 203, 469, 76, 153, 45 |
| 3 | 203, 469, 76, 51, 15 |
| 7 | 203, 469, 76, 17, 5 |
| 29, 67, 76, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 29 x 67 x 76 x 17 x 5 = 4744572840
Therefore, the lowest common multiple of 203,938,456,918,270 is 4744572840.
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.
203 x 938 x 456 x 918 x 270 = 21521382402240
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.
203 : 1, 7, 29, 203
938 : 1, 2, 7, 14, 67, 134, 469, 938
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,938,456,918,270, is 1.
Now, the common factors can be found like this.
203:7x 29
938:2x 7x 67
456:2x 2x 2x 3x 19
918:2x 3x 3x 3x 17
270:2x 3x 3x 3x 5
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 7 = 4536
Therefore, the value for common factors is 4536.
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 = 21521382402240/(1x4536)
LCM = 21521382402240/4536
LCM = 4744572840
Thus, we can understand that the LCM of 203,938,456,918,270 is 4744572840.
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FAQs on LCM of 203, 938, 456, 918, 270
1. What is the LCM of 203, 938, 456, 918, 270?
Answer: LCM of 203, 938, 456, 918, 270 is 4744572840.
2. How to calculate the LCM of 203, 938, 456, 918, 270?
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 203, 938, 456, 918, 270.
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}.