LCM of 240, 612, 435, 289, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 612, 435, 289, 954 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 240, 612, 435, 289, 954. So, keep reading to learn more.
Given numbers are 240,612,435,289,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,612,435,289,954 is 319818960.
Find LCM of 240,612,435,289,954 with Prime Factorization
| 2 | 240, 612, 435, 289, 954 |
| 2 | 120, 306, 435, 289, 477 |
| 3 | 60, 153, 435, 289, 477 |
| 3 | 20, 51, 145, 289, 159 |
| 5 | 20, 17, 145, 289, 53 |
| 17 | 4, 17, 29, 289, 53 |
| 4, 1, 29, 17, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 17 x 4 x 1 x 29 x 17 x 53 = 319818960
Therefore, the lowest common multiple of 240,612,435,289,954 is 319818960.
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.
240 x 612 x 435 x 289 x 954 = 17615628316800
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
435 : 1, 3, 5, 15, 29, 87, 145, 435
289 : 1, 17, 289
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,612,435,289,954, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
612:2x 2x 3x 3x 17
435:3x 5x 29
289:17x 17
954:2x 3x 3x 53
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 17 = 55080
Therefore, the value for common factors is 55080.
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 = 17615628316800/(1x55080)
LCM = 17615628316800/55080
LCM = 319818960
Thus, we can understand that the LCM of 240,612,435,289,954 is 319818960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 240, 612, 435, 289, 954
1. What is the LCM of 240, 612, 435, 289, 954?
Answer: LCM of 240, 612, 435, 289, 954 is 319818960.
2. How to calculate the LCM of 240, 612, 435, 289, 954?
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 240, 612, 435, 289, 954.
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}.