LCM of 562, 585, 667, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 562, 585, 667, 702 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 562, 585, 667, 702. So, keep reading to learn more.
Given numbers are 562,585,667,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,585,667,702 is 657868770.
Find LCM of 562,585,667,702 with Prime Factorization
| 2 | 562, 585, 667, 702 |
| 3 | 281, 585, 667, 351 |
| 3 | 281, 195, 667, 117 |
| 13 | 281, 65, 667, 39 |
| 281, 5, 667, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 281 x 5 x 667 x 3 = 657868770
Therefore, the lowest common multiple of 562,585,667,702 is 657868770.
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.
562 x 585 x 667 x 702 = 153941292180
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.
562 : 1, 2, 281, 562
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
667 : 1, 23, 29, 667
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,585,667,702, is 1.
Now, the common factors can be found like this.
562:2x 281
585:3x 3x 5x 13
667:23x 29
702:2x 3x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 153941292180/(1x234)
LCM = 153941292180/234
LCM = 657868770
Thus, we can understand that the LCM of 562,585,667,702 is 657868770.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 562, 585, 667, 702
1. What is the LCM of 562, 585, 667, 702?
Answer: LCM of 562, 585, 667, 702 is 657868770.
2. How to calculate the LCM of 562, 585, 667, 702?
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 562, 585, 667, 702.
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}.