LCM of 315, 671, 680, 686, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 671, 680, 686, 722 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, 671, 680, 686, 722. So, keep reading to learn more.
Given numbers are 315,671,680,686,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,671,680,686,722 is 508481625960.
Find LCM of 315,671,680,686,722 with Prime Factorization
| 2 | 315, 671, 680, 686, 722 |
| 5 | 315, 671, 340, 343, 361 |
| 7 | 63, 671, 68, 343, 361 |
| 9, 671, 68, 49, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 9 x 671 x 68 x 49 x 361 = 508481625960
Therefore, the lowest common multiple of 315,671,680,686,722 is 508481625960.
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 671 x 680 x 686 x 722 = 71187427634400
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
671 : 1, 11, 61, 671
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
686 : 1, 2, 7, 14, 49, 98, 343, 686
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,671,680,686,722, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
671:11x 61
680:2x 2x 2x 5x 17
686:2x 7x 7x 7
722:2x 19x 19
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 = 71187427634400/(1x140)
LCM = 71187427634400/140
LCM = 508481625960
Thus, we can understand that the LCM of 315,671,680,686,722 is 508481625960.
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FAQs on LCM of 315, 671, 680, 686, 722
1. What is the LCM of 315, 671, 680, 686, 722?
Answer: LCM of 315, 671, 680, 686, 722 is 508481625960.
2. How to calculate the LCM of 315, 671, 680, 686, 722?
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, 671, 680, 686, 722.
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}.