LCM of 763, 289, 870, 460, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 289, 870, 460, 434 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 763, 289, 870, 460, 434. So, keep reading to learn more.
Given numbers are 763,289,870,460,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,289,870,460,434 is 273565394340.
Find LCM of 763,289,870,460,434 with Prime Factorization
| 2 | 763, 289, 870, 460, 434 |
| 5 | 763, 289, 435, 230, 217 |
| 7 | 763, 289, 87, 46, 217 |
| 109, 289, 87, 46, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 109 x 289 x 87 x 46 x 31 = 273565394340
Therefore, the lowest common multiple of 763,289,870,460,434 is 273565394340.
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.
763 x 289 x 870 x 460 x 434 = 38299155207600
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.
763 : 1, 7, 109, 763
289 : 1, 17, 289
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,289,870,460,434, is 1.
Now, the common factors can be found like this.
763:7x 109
289:17x 17
870:2x 3x 5x 29
460:2x 2x 5x 23
434:2x 7x 31
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 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 38299155207600/(1x140)
LCM = 38299155207600/140
LCM = 273565394340
Thus, we can understand that the LCM of 763,289,870,460,434 is 273565394340.
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FAQs on LCM of 763, 289, 870, 460, 434
1. What is the LCM of 763, 289, 870, 460, 434?
Answer: LCM of 763, 289, 870, 460, 434 is 273565394340.
2. How to calculate the LCM of 763, 289, 870, 460, 434?
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 763, 289, 870, 460, 434.
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}.