LCM of 924, 684, 114, 646, 293
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 684, 114, 646, 293 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, 684, 114, 646, 293. So, keep reading to learn more.
Given numbers are 924,684,114,646,293
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,684,114,646,293 is 262339308.
Find LCM of 924,684,114,646,293 with Prime Factorization
| 2 | 924, 684, 114, 646, 293 |
| 2 | 462, 342, 57, 323, 293 |
| 3 | 231, 171, 57, 323, 293 |
| 19 | 77, 19, 57, 323, 293 |
| 77, 1, 3, 17, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 77 x 1 x 3 x 17 x 293 = 262339308
Therefore, the lowest common multiple of 924,684,114,646,293 is 262339308.
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 684 x 114 x 646 x 293 = 13637446587072
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
114 : 1, 2, 3, 6, 19, 38, 57, 114
646 : 1, 2, 17, 19, 34, 38, 323, 646
293 : 1, 293
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,684,114,646,293, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
684:2x 2x 3x 3x 19
114:2x 3x 19
646:2x 17x 19
293:293
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 19x 19 = 51984
Therefore, the value for common factors is 51984.
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 = 13637446587072/(1x51984)
LCM = 13637446587072/51984
LCM = 262339308
Thus, we can understand that the LCM of 924,684,114,646,293 is 262339308.
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FAQs on LCM of 924, 684, 114, 646, 293
1. What is the LCM of 924, 684, 114, 646, 293?
Answer: LCM of 924, 684, 114, 646, 293 is 262339308.
2. How to calculate the LCM of 924, 684, 114, 646, 293?
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, 684, 114, 646, 293.
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}.