LCM of 456, 614, 870, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 614, 870, 319 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 456, 614, 870, 319. So, keep reading to learn more.
Given numbers are 456,614,870,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,614,870,319 is 223287240.
Find LCM of 456,614,870,319 with Prime Factorization
| 2 | 456, 614, 870, 319 |
| 3 | 228, 307, 435, 319 |
| 29 | 76, 307, 145, 319 |
| 76, 307, 5, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 76 x 307 x 5 x 11 = 223287240
Therefore, the lowest common multiple of 456,614,870,319 is 223287240.
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.
456 x 614 x 870 x 319 = 77703959520
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
614 : 1, 2, 307, 614
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,614,870,319, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
614:2x 307
870:2x 3x 5x 29
319:11x 29
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 3x 29 = 348
Therefore, the value for common factors is 348.
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 = 77703959520/(1x348)
LCM = 77703959520/348
LCM = 223287240
Thus, we can understand that the LCM of 456,614,870,319 is 223287240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 456, 614, 870, 319
1. What is the LCM of 456, 614, 870, 319?
Answer: LCM of 456, 614, 870, 319 is 223287240.
2. How to calculate the LCM of 456, 614, 870, 319?
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 456, 614, 870, 319.
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}.