LCM of 153, 102, 209, 440, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 102, 209, 440, 312 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 153, 102, 209, 440, 312. So, keep reading to learn more.
Given numbers are 153,102,209,440,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,102,209,440,312 is 16628040.
Find LCM of 153,102,209,440,312 with Prime Factorization
| 2 | 153, 102, 209, 440, 312 |
| 2 | 153, 51, 209, 220, 156 |
| 2 | 153, 51, 209, 110, 78 |
| 3 | 153, 51, 209, 55, 39 |
| 11 | 17, 51, 209, 55, 13 |
| 17 | 17, 51, 19, 5, 13 |
| 1, 3, 19, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 17 x 1 x 3 x 19 x 5 x 13 = 16628040
Therefore, the lowest common multiple of 153,102,209,440,312 is 16628040.
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.
153 x 102 x 209 x 440 x 312 = 447759861120
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.
153 : 1, 3, 9, 17, 51, 153
102 : 1, 2, 3, 6, 17, 34, 51, 102
209 : 1, 11, 19, 209
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,102,209,440,312, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
102:2x 3x 17
209:11x 19
440:2x 2x 2x 5x 11
312:2x 2x 2x 3x 13
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 11x 17 = 26928
Therefore, the value for common factors is 26928.
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 = 447759861120/(1x26928)
LCM = 447759861120/26928
LCM = 16628040
Thus, we can understand that the LCM of 153,102,209,440,312 is 16628040.
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FAQs on LCM of 153, 102, 209, 440, 312
1. What is the LCM of 153, 102, 209, 440, 312?
Answer: LCM of 153, 102, 209, 440, 312 is 16628040.
2. How to calculate the LCM of 153, 102, 209, 440, 312?
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 153, 102, 209, 440, 312.
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}.