LCM of 254, 675, 999, 348, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 675, 999, 348, 612 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 254, 675, 999, 348, 612. So, keep reading to learn more.
Given numbers are 254,675,999,348,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,675,999,348,612 is 6254838900.
Find LCM of 254,675,999,348,612 with Prime Factorization
| 2 | 254, 675, 999, 348, 612 |
| 2 | 127, 675, 999, 174, 306 |
| 3 | 127, 675, 999, 87, 153 |
| 3 | 127, 225, 333, 29, 51 |
| 3 | 127, 75, 111, 29, 17 |
| 127, 25, 37, 29, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 127 x 25 x 37 x 29 x 17 = 6254838900
Therefore, the lowest common multiple of 254,675,999,348,612 is 6254838900.
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.
254 x 675 x 999 x 348 x 612 = 36478220464800
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.
254 : 1, 2, 127, 254
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
999 : 1, 3, 9, 27, 37, 111, 333, 999
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,675,999,348,612, is 1.
Now, the common factors can be found like this.
254:2x 127
675:3x 3x 3x 5x 5
999:3x 3x 3x 37
348:2x 2x 3x 29
612:2x 2x 3x 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 3x 3 = 5832
Therefore, the value for common factors is 5832.
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 = 36478220464800/(1x5832)
LCM = 36478220464800/5832
LCM = 6254838900
Thus, we can understand that the LCM of 254,675,999,348,612 is 6254838900.
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FAQs on LCM of 254, 675, 999, 348, 612
1. What is the LCM of 254, 675, 999, 348, 612?
Answer: LCM of 254, 675, 999, 348, 612 is 6254838900.
2. How to calculate the LCM of 254, 675, 999, 348, 612?
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 254, 675, 999, 348, 612.
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}.