LCM of 257, 705, 684, 499, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 705, 684, 499, 315 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 257, 705, 684, 499, 315. So, keep reading to learn more.
Given numbers are 257,705,684,499,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,705,684,499,315 is 144296458740.
Find LCM of 257,705,684,499,315 with Prime Factorization
| 3 | 257, 705, 684, 499, 315 |
| 3 | 257, 235, 228, 499, 105 |
| 5 | 257, 235, 76, 499, 35 |
| 257, 47, 76, 499, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 257 x 47 x 76 x 499 x 7 = 144296458740
Therefore, the lowest common multiple of 257,705,684,499,315 is 144296458740.
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.
257 x 705 x 684 x 499 x 315 = 19480021929900
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.
257 : 1, 257
705 : 1, 3, 5, 15, 47, 141, 235, 705
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
499 : 1, 499
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,705,684,499,315, is 1.
Now, the common factors can be found like this.
257:257
705:3x 5x 47
684:2x 2x 3x 3x 19
499:499
315:3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 19480021929900/(1x135)
LCM = 19480021929900/135
LCM = 144296458740
Thus, we can understand that the LCM of 257,705,684,499,315 is 144296458740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 257, 705, 684, 499, 315
1. What is the LCM of 257, 705, 684, 499, 315?
Answer: LCM of 257, 705, 684, 499, 315 is 144296458740.
2. How to calculate the LCM of 257, 705, 684, 499, 315?
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 257, 705, 684, 499, 315.
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}.