LCM of 924, 878, 546, 507, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 878, 546, 507, 216 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 924, 878, 546, 507, 216. So, keep reading to learn more.
Given numbers are 924,878,546,507,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,878,546,507,216 is 1233944712.
Find LCM of 924,878,546,507,216 with Prime Factorization
| 2 | 924, 878, 546, 507, 216 |
| 2 | 462, 439, 273, 507, 108 |
| 3 | 231, 439, 273, 507, 54 |
| 7 | 77, 439, 91, 169, 18 |
| 13 | 11, 439, 13, 169, 18 |
| 11, 439, 1, 13, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 11 x 439 x 1 x 13 x 18 = 1233944712
Therefore, the lowest common multiple of 924,878,546,507,216 is 1233944712.
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.
924 x 878 x 546 x 507 x 216 = 48508834518144
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
878 : 1, 2, 439, 878
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
507 : 1, 3, 13, 39, 169, 507
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,878,546,507,216, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
878:2x 439
546:2x 3x 7x 13
507:3x 13x 13
216:2x 2x 2x 3x 3x 3
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 2x 3x 3x 3x 7x 13 = 39312
Therefore, the value for common factors is 39312.
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 = 48508834518144/(1x39312)
LCM = 48508834518144/39312
LCM = 1233944712
Thus, we can understand that the LCM of 924,878,546,507,216 is 1233944712.
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FAQs on LCM of 924, 878, 546, 507, 216
1. What is the LCM of 924, 878, 546, 507, 216?
Answer: LCM of 924, 878, 546, 507, 216 is 1233944712.
2. How to calculate the LCM of 924, 878, 546, 507, 216?
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 924, 878, 546, 507, 216.
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}.