LCM of 460, 418, 299, 972, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 418, 299, 972, 905 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 460, 418, 299, 972, 905. So, keep reading to learn more.
Given numbers are 460,418,299,972,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,418,299,972,905 is 54970833060.
Find LCM of 460,418,299,972,905 with Prime Factorization
| 2 | 460, 418, 299, 972, 905 |
| 2 | 230, 209, 299, 486, 905 |
| 5 | 115, 209, 299, 243, 905 |
| 23 | 23, 209, 299, 243, 181 |
| 1, 209, 13, 243, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 1 x 209 x 13 x 243 x 181 = 54970833060
Therefore, the lowest common multiple of 460,418,299,972,905 is 54970833060.
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.
460 x 418 x 299 x 972 x 905 = 50573166415200
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
418 : 1, 2, 11, 19, 22, 38, 209, 418
299 : 1, 13, 23, 299
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,418,299,972,905, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
418:2x 11x 19
299:13x 23
972:2x 2x 3x 3x 3x 3x 3
905:5x 181
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 5x 23 = 920
Therefore, the value for common factors is 920.
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 = 50573166415200/(1x920)
LCM = 50573166415200/920
LCM = 54970833060
Thus, we can understand that the LCM of 460,418,299,972,905 is 54970833060.
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FAQs on LCM of 460, 418, 299, 972, 905
1. What is the LCM of 460, 418, 299, 972, 905?
Answer: LCM of 460, 418, 299, 972, 905 is 54970833060.
2. How to calculate the LCM of 460, 418, 299, 972, 905?
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 460, 418, 299, 972, 905.
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}.