LCM of 460, 247, 754, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 247, 754, 456 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, 247, 754, 456. So, keep reading to learn more.
Given numbers are 460,247,754,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,247,754,456 is 19769880.
Find LCM of 460,247,754,456 with Prime Factorization
| 2 | 460, 247, 754, 456 |
| 2 | 230, 247, 377, 228 |
| 13 | 115, 247, 377, 114 |
| 19 | 115, 19, 29, 114 |
| 115, 1, 29, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 115 x 1 x 29 x 6 = 19769880
Therefore, the lowest common multiple of 460,247,754,456 is 19769880.
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 247 x 754 x 456 = 39065282880
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
247 : 1, 13, 19, 247
754 : 1, 2, 13, 26, 29, 58, 377, 754
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,247,754,456, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
247:13x 19
754:2x 13x 29
456:2x 2x 2x 3x 19
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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 39065282880/(1x1976)
LCM = 39065282880/1976
LCM = 19769880
Thus, we can understand that the LCM of 460,247,754,456 is 19769880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 460, 247, 754, 456
1. What is the LCM of 460, 247, 754, 456?
Answer: LCM of 460, 247, 754, 456 is 19769880.
2. How to calculate the LCM of 460, 247, 754, 456?
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, 247, 754, 456.
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}.