LCM of 246, 324, 506, 902, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 246, 324, 506, 902, 765 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 246, 324, 506, 902, 765. So, keep reading to learn more.
Given numbers are 246,324,506,902,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 246,324,506,902,765 is 285672420.
Find LCM of 246,324,506,902,765 with Prime Factorization
| 2 | 246, 324, 506, 902, 765 |
| 3 | 123, 162, 253, 451, 765 |
| 3 | 41, 54, 253, 451, 255 |
| 11 | 41, 18, 253, 451, 85 |
| 41 | 41, 18, 23, 41, 85 |
| 1, 18, 23, 1, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 41 x 1 x 18 x 23 x 1 x 85 = 285672420
Therefore, the lowest common multiple of 246,324,506,902,765 is 285672420.
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.
246 x 324 x 506 x 902 x 765 = 27829064466720
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.
246 : 1, 2, 3, 6, 41, 82, 123, 246
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
506 : 1, 2, 11, 22, 23, 46, 253, 506
902 : 1, 2, 11, 22, 41, 82, 451, 902
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,324,506,902,765, is 1.
Now, the common factors can be found like this.
246:2x 3x 41
324:2x 2x 3x 3x 3x 3
506:2x 11x 23
902:2x 11x 41
765:3x 3x 5x 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 2x 2x 3x 3x 3x 11x 41 = 97416
Therefore, the value for common factors is 97416.
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 = 27829064466720/(1x97416)
LCM = 27829064466720/97416
LCM = 285672420
Thus, we can understand that the LCM of 246,324,506,902,765 is 285672420.
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FAQs on LCM of 246, 324, 506, 902, 765
1. What is the LCM of 246, 324, 506, 902, 765?
Answer: LCM of 246, 324, 506, 902, 765 is 285672420.
2. How to calculate the LCM of 246, 324, 506, 902, 765?
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 246, 324, 506, 902, 765.
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}.