LCM of 924, 359, 866, 946, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 359, 866, 946, 308 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, 359, 866, 946, 308. So, keep reading to learn more.
Given numbers are 924,359,866,946,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,359,866,946,308 is 6176220204.
Find LCM of 924,359,866,946,308 with Prime Factorization
| 2 | 924, 359, 866, 946, 308 |
| 2 | 462, 359, 433, 473, 154 |
| 7 | 231, 359, 433, 473, 77 |
| 11 | 33, 359, 433, 473, 11 |
| 3, 359, 433, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 3 x 359 x 433 x 43 x 1 = 6176220204
Therefore, the lowest common multiple of 924,359,866,946,308 is 6176220204.
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 359 x 866 x 946 x 308 = 83700136204608
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
359 : 1, 359
866 : 1, 2, 433, 866
946 : 1, 2, 11, 22, 43, 86, 473, 946
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,359,866,946,308, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
359:359
866:2x 433
946:2x 11x 43
308:2x 2x 7x 11
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 7x 11x 11 = 13552
Therefore, the value for common factors is 13552.
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 = 83700136204608/(1x13552)
LCM = 83700136204608/13552
LCM = 6176220204
Thus, we can understand that the LCM of 924,359,866,946,308 is 6176220204.
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FAQs on LCM of 924, 359, 866, 946, 308
1. What is the LCM of 924, 359, 866, 946, 308?
Answer: LCM of 924, 359, 866, 946, 308 is 6176220204.
2. How to calculate the LCM of 924, 359, 866, 946, 308?
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, 359, 866, 946, 308.
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}.