LCM of 234, 823, 456, 676, 669
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 823, 456, 676, 669 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 234, 823, 456, 676, 669. So, keep reading to learn more.
Given numbers are 234,823,456,676,669
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,823,456,676,669 is 42430436568.
Find LCM of 234,823,456,676,669 with Prime Factorization
| 2 | 234, 823, 456, 676, 669 |
| 2 | 117, 823, 228, 338, 669 |
| 3 | 117, 823, 114, 169, 669 |
| 13 | 39, 823, 38, 169, 223 |
| 3, 823, 38, 13, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 3 x 823 x 38 x 13 x 223 = 42430436568
Therefore, the lowest common multiple of 234,823,456,676,669 is 42430436568.
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.
234 x 823 x 456 x 676 x 669 = 39714888627648
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
823 : 1, 823
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
669 : 1, 3, 223, 669
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,823,456,676,669, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
823:823
456:2x 2x 2x 3x 19
676:2x 2x 13x 13
669:3x 223
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 3x 3x 13 = 936
Therefore, the value for common factors is 936.
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 = 39714888627648/(1x936)
LCM = 39714888627648/936
LCM = 42430436568
Thus, we can understand that the LCM of 234,823,456,676,669 is 42430436568.
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FAQs on LCM of 234, 823, 456, 676, 669
1. What is the LCM of 234, 823, 456, 676, 669?
Answer: LCM of 234, 823, 456, 676, 669 is 42430436568.
2. How to calculate the LCM of 234, 823, 456, 676, 669?
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 234, 823, 456, 676, 669.
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}.