LCM of 584, 560, 168, 735, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 560, 168, 735, 682 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 584, 560, 168, 735, 682. So, keep reading to learn more.
Given numbers are 584,560,168,735,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,560,168,735,682 is 292741680.
Find LCM of 584,560,168,735,682 with Prime Factorization
| 2 | 584, 560, 168, 735, 682 |
| 2 | 292, 280, 84, 735, 341 |
| 2 | 146, 140, 42, 735, 341 |
| 3 | 73, 70, 21, 735, 341 |
| 5 | 73, 70, 7, 245, 341 |
| 7 | 73, 14, 7, 49, 341 |
| 73, 2, 1, 7, 341 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 73 x 2 x 1 x 7 x 341 = 292741680
Therefore, the lowest common multiple of 584,560,168,735,682 is 292741680.
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.
584 x 560 x 168 x 735 x 682 = 27541137254400
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,560,168,735,682, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
560:2x 2x 2x 2x 5x 7
168:2x 2x 2x 3x 7
735:3x 5x 7x 7
682:2x 11x 31
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 2x 2x 2x 2x 2x 3x 5x 7x 7 = 94080
Therefore, the value for common factors is 94080.
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 = 27541137254400/(1x94080)
LCM = 27541137254400/94080
LCM = 292741680
Thus, we can understand that the LCM of 584,560,168,735,682 is 292741680.
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FAQs on LCM of 584, 560, 168, 735, 682
1. What is the LCM of 584, 560, 168, 735, 682?
Answer: LCM of 584, 560, 168, 735, 682 is 292741680.
2. How to calculate the LCM of 584, 560, 168, 735, 682?
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 584, 560, 168, 735, 682.
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}.