LCM of 282, 470, 507, 616, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 470, 507, 616, 987 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 282, 470, 507, 616, 987. So, keep reading to learn more.
Given numbers are 282,470,507,616,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,470,507,616,987 is 73393320.
Find LCM of 282,470,507,616,987 with Prime Factorization
| 2 | 282, 470, 507, 616, 987 |
| 3 | 141, 235, 507, 308, 987 |
| 7 | 47, 235, 169, 308, 329 |
| 47 | 47, 235, 169, 44, 47 |
| 1, 5, 169, 44, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 47 x 1 x 5 x 169 x 44 x 1 = 73393320
Therefore, the lowest common multiple of 282,470,507,616,987 is 73393320.
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.
282 x 470 x 507 x 616 x 987 = 40855712657760
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
470 : 1, 2, 5, 10, 47, 94, 235, 470
507 : 1, 3, 13, 39, 169, 507
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,470,507,616,987, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
470:2x 5x 47
507:3x 13x 13
616:2x 2x 2x 7x 11
987:3x 7x 47
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 3x 3x 7x 47x 47 = 556668
Therefore, the value for common factors is 556668.
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 = 40855712657760/(1x556668)
LCM = 40855712657760/556668
LCM = 73393320
Thus, we can understand that the LCM of 282,470,507,616,987 is 73393320.
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FAQs on LCM of 282, 470, 507, 616, 987
1. What is the LCM of 282, 470, 507, 616, 987?
Answer: LCM of 282, 470, 507, 616, 987 is 73393320.
2. How to calculate the LCM of 282, 470, 507, 616, 987?
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 282, 470, 507, 616, 987.
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}.