LCM of 234, 529, 874, 564, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 529, 874, 564, 420 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, 529, 874, 564, 420. So, keep reading to learn more.
Given numbers are 234,529,874,564,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,529,874,564,420 is 7737862860.
Find LCM of 234,529,874,564,420 with Prime Factorization
| 2 | 234, 529, 874, 564, 420 |
| 2 | 117, 529, 437, 282, 210 |
| 3 | 117, 529, 437, 141, 105 |
| 23 | 39, 529, 437, 47, 35 |
| 39, 23, 19, 47, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 39 x 23 x 19 x 47 x 35 = 7737862860
Therefore, the lowest common multiple of 234,529,874,564,420 is 7737862860.
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 529 x 874 x 564 x 420 = 25627801792320
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
529 : 1, 23, 529
874 : 1, 2, 19, 23, 38, 46, 437, 874
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,529,874,564,420, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
529:23x 23
874:2x 19x 23
564:2x 2x 3x 47
420:2x 2x 3x 5x 7
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 23 = 3312
Therefore, the value for common factors is 3312.
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 = 25627801792320/(1x3312)
LCM = 25627801792320/3312
LCM = 7737862860
Thus, we can understand that the LCM of 234,529,874,564,420 is 7737862860.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 234, 529, 874, 564, 420
1. What is the LCM of 234, 529, 874, 564, 420?
Answer: LCM of 234, 529, 874, 564, 420 is 7737862860.
2. How to calculate the LCM of 234, 529, 874, 564, 420?
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, 529, 874, 564, 420.
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}.