LCM of 254, 520, 662, 468, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 520, 662, 468, 712 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, 520, 662, 468, 712. So, keep reading to learn more.
Given numbers are 254,520,662,468,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,520,662,468,712 is 17509251240.
Find LCM of 254,520,662,468,712 with Prime Factorization
| 2 | 254, 520, 662, 468, 712 |
| 2 | 127, 260, 331, 234, 356 |
| 2 | 127, 130, 331, 117, 178 |
| 13 | 127, 65, 331, 117, 89 |
| 127, 5, 331, 9, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 127 x 5 x 331 x 9 x 89 = 17509251240
Therefore, the lowest common multiple of 254,520,662,468,712 is 17509251240.
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 520 x 662 x 468 x 712 = 29135394063360
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
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
662 : 1, 2, 331, 662
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
712 : 1, 2, 4, 8, 89, 178, 356, 712
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,520,662,468,712, is 2.
Now, the common factors can be found like this.
254:2x 127
520:2x 2x 2x 5x 13
662:2x 331
468:2x 2x 3x 3x 13
712:2x 2x 2x 89
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 2x 2x 13 = 832
Therefore, the value for common factors is 832.
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 = 29135394063360/(2x832)
LCM = 29135394063360/1664
LCM = 17509251240
Thus, we can understand that the LCM of 254,520,662,468,712 is 17509251240.
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FAQs on LCM of 254, 520, 662, 468, 712
1. What is the LCM of 254, 520, 662, 468, 712?
Answer: LCM of 254, 520, 662, 468, 712 is 17509251240.
2. How to calculate the LCM of 254, 520, 662, 468, 712?
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, 520, 662, 468, 712.
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}.