LCM of 924, 233, 189, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 233, 189, 678 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, 233, 189, 678. So, keep reading to learn more.
Given numbers are 924,233,189,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,233,189,678 is 218951964.
Find LCM of 924,233,189,678 with Prime Factorization
| 2 | 924, 233, 189, 678 |
| 3 | 462, 233, 189, 339 |
| 7 | 154, 233, 63, 113 |
| 22, 233, 9, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 22 x 233 x 9 x 113 = 218951964
Therefore, the lowest common multiple of 924,233,189,678 is 218951964.
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 233 x 189 x 678 = 27587947464
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
233 : 1, 233
189 : 1, 3, 7, 9, 21, 27, 63, 189
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,233,189,678, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
233:233
189:3x 3x 3x 7
678:2x 3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 27587947464/(1x126)
LCM = 27587947464/126
LCM = 218951964
Thus, we can understand that the LCM of 924,233,189,678 is 218951964.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 924, 233, 189, 678
1. What is the LCM of 924, 233, 189, 678?
Answer: LCM of 924, 233, 189, 678 is 218951964.
2. How to calculate the LCM of 924, 233, 189, 678?
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, 233, 189, 678.
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}.