LCM of 510, 742, 735, 609, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 742, 735, 609, 985 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 510, 742, 735, 609, 985. So, keep reading to learn more.
Given numbers are 510,742,735,609,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,742,735,609,985 is 7566697110.
Find LCM of 510,742,735,609,985 with Prime Factorization
| 2 | 510, 742, 735, 609, 985 |
| 3 | 255, 371, 735, 609, 985 |
| 5 | 85, 371, 245, 203, 985 |
| 7 | 17, 371, 49, 203, 197 |
| 17, 53, 7, 29, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 53 x 7 x 29 x 197 = 7566697110
Therefore, the lowest common multiple of 510,742,735,609,985 is 7566697110.
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.
510 x 742 x 735 x 609 x 985 = 166845671275500
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
742 : 1, 2, 7, 14, 53, 106, 371, 742
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
609 : 1, 3, 7, 21, 29, 87, 203, 609
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,742,735,609,985, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
742:2x 7x 53
735:3x 5x 7x 7
609:3x 7x 29
985:5x 197
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 5x 5x 7x 7 = 22050
Therefore, the value for common factors is 22050.
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 = 166845671275500/(1x22050)
LCM = 166845671275500/22050
LCM = 7566697110
Thus, we can understand that the LCM of 510,742,735,609,985 is 7566697110.
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FAQs on LCM of 510, 742, 735, 609, 985
1. What is the LCM of 510, 742, 735, 609, 985?
Answer: LCM of 510, 742, 735, 609, 985 is 7566697110.
2. How to calculate the LCM of 510, 742, 735, 609, 985?
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 510, 742, 735, 609, 985.
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}.