LCM of 455, 715, 315, 506, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 455, 715, 315, 506, 938 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 455, 715, 315, 506, 938. So, keep reading to learn more.
Given numbers are 455,715,315,506,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,715,315,506,938 is 138828690.
Find LCM of 455,715,315,506,938 with Prime Factorization
| 2 | 455, 715, 315, 506, 938 |
| 5 | 455, 715, 315, 253, 469 |
| 7 | 91, 143, 63, 253, 469 |
| 11 | 13, 143, 9, 253, 67 |
| 13 | 13, 13, 9, 23, 67 |
| 1, 1, 9, 23, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 13 x 1 x 1 x 9 x 23 x 67 = 138828690
Therefore, the lowest common multiple of 455,715,315,506,938 is 138828690.
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.
455 x 715 x 315 x 506 x 938 = 48638631541500
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
715 : 1, 5, 11, 13, 55, 65, 143, 715
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
506 : 1, 2, 11, 22, 23, 46, 253, 506
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,715,315,506,938, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
715:5x 11x 13
315:3x 3x 5x 7
506:2x 11x 23
938:2x 7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 7x 7x 11x 13 = 350350
Therefore, the value for common factors is 350350.
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 = 48638631541500/(1x350350)
LCM = 48638631541500/350350
LCM = 138828690
Thus, we can understand that the LCM of 455,715,315,506,938 is 138828690.
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FAQs on LCM of 455, 715, 315, 506, 938
1. What is the LCM of 455, 715, 315, 506, 938?
Answer: LCM of 455, 715, 315, 506, 938 is 138828690.
2. How to calculate the LCM of 455, 715, 315, 506, 938?
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 455, 715, 315, 506, 938.
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}.