LCM of 924, 106, 284, 337, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 106, 284, 337, 319 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, 106, 284, 337, 319. So, keep reading to learn more.
Given numbers are 924,106,284,337,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,106,284,337,319 is 33980838276.
Find LCM of 924,106,284,337,319 with Prime Factorization
| 2 | 924, 106, 284, 337, 319 |
| 2 | 462, 53, 142, 337, 319 |
| 11 | 231, 53, 71, 337, 319 |
| 21, 53, 71, 337, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 21 x 53 x 71 x 337 x 29 = 33980838276
Therefore, the lowest common multiple of 924,106,284,337,319 is 33980838276.
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 106 x 284 x 337 x 319 = 2990313768288
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
106 : 1, 2, 53, 106
284 : 1, 2, 4, 71, 142, 284
337 : 1, 337
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,106,284,337,319, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
106:2x 53
284:2x 2x 71
337:337
319:11x 29
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 11 = 88
Therefore, the value for common factors is 88.
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 = 2990313768288/(1x88)
LCM = 2990313768288/88
LCM = 33980838276
Thus, we can understand that the LCM of 924,106,284,337,319 is 33980838276.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 924, 106, 284, 337, 319
1. What is the LCM of 924, 106, 284, 337, 319?
Answer: LCM of 924, 106, 284, 337, 319 is 33980838276.
2. How to calculate the LCM of 924, 106, 284, 337, 319?
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, 106, 284, 337, 319.
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}.