LCM of 315, 510, 834, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 510, 834, 714 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 315, 510, 834, 714. So, keep reading to learn more.
Given numbers are 315,510,834,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,510,834,714 is 1488690.
Find LCM of 315,510,834,714 with Prime Factorization
| 2 | 315, 510, 834, 714 |
| 3 | 315, 255, 417, 357 |
| 5 | 105, 85, 139, 119 |
| 7 | 21, 17, 139, 119 |
| 17 | 3, 17, 139, 17 |
| 3, 1, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 3 x 1 x 139 x 1 = 1488690
Therefore, the lowest common multiple of 315,510,834,714 is 1488690.
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.
315 x 510 x 834 x 714 = 95663219400
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
834 : 1, 2, 3, 6, 139, 278, 417, 834
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,510,834,714, is 3.
Now, the common factors can be found like this.
315:3x 3x 5x 7
510:2x 3x 5x 17
834:2x 3x 139
714:2x 3x 7x 17
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 3x 5x 7x 17 = 21420
Therefore, the value for common factors is 21420.
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 = 95663219400/(3x21420)
LCM = 95663219400/64260
LCM = 1488690
Thus, we can understand that the LCM of 315,510,834,714 is 1488690.
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FAQs on LCM of 315, 510, 834, 714
1. What is the LCM of 315, 510, 834, 714?
Answer: LCM of 315, 510, 834, 714 is 1488690.
2. How to calculate the LCM of 315, 510, 834, 714?
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 315, 510, 834, 714.
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}.