LCM of 705, 875, 663, 570, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 875, 663, 570, 306 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 705, 875, 663, 570, 306. So, keep reading to learn more.
Given numbers are 705,875,663,570,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,875,663,570,306 is 3108309750.
Find LCM of 705,875,663,570,306 with Prime Factorization
| 2 | 705, 875, 663, 570, 306 |
| 3 | 705, 875, 663, 285, 153 |
| 5 | 235, 875, 221, 95, 51 |
| 17 | 47, 175, 221, 19, 51 |
| 47, 175, 13, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 47 x 175 x 13 x 19 x 3 = 3108309750
Therefore, the lowest common multiple of 705,875,663,570,306 is 3108309750.
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.
705 x 875 x 663 x 570 x 306 = 71335708762500
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
875 : 1, 5, 7, 25, 35, 125, 175, 875
663 : 1, 3, 13, 17, 39, 51, 221, 663
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,875,663,570,306, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
875:5x 5x 5x 7
663:3x 13x 17
570:2x 3x 5x 19
306:2x 3x 3x 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 3x 3x 3x 5x 5x 17 = 22950
Therefore, the value for common factors is 22950.
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 = 71335708762500/(1x22950)
LCM = 71335708762500/22950
LCM = 3108309750
Thus, we can understand that the LCM of 705,875,663,570,306 is 3108309750.
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FAQs on LCM of 705, 875, 663, 570, 306
1. What is the LCM of 705, 875, 663, 570, 306?
Answer: LCM of 705, 875, 663, 570, 306 is 3108309750.
2. How to calculate the LCM of 705, 875, 663, 570, 306?
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 705, 875, 663, 570, 306.
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}.