LCM of 869, 671, 144, 624, 590
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 671, 144, 624, 590 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 869, 671, 144, 624, 590. So, keep reading to learn more.
Given numbers are 869,671,144,624,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,671,144,624,590 is 29273690160.
Find LCM of 869,671,144,624,590 with Prime Factorization
| 2 | 869, 671, 144, 624, 590 |
| 2 | 869, 671, 72, 312, 295 |
| 2 | 869, 671, 36, 156, 295 |
| 2 | 869, 671, 18, 78, 295 |
| 3 | 869, 671, 9, 39, 295 |
| 11 | 869, 671, 3, 13, 295 |
| 79, 61, 3, 13, 295 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 79 x 61 x 3 x 13 x 295 = 29273690160
Therefore, the lowest common multiple of 869,671,144,624,590 is 29273690160.
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.
869 x 671 x 144 x 624 x 590 = 30913016808960
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.
869 : 1, 11, 79, 869
671 : 1, 11, 61, 671
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,671,144,624,590, is 1.
Now, the common factors can be found like this.
869:11x 79
671:11x 61
144:2x 2x 2x 2x 3x 3
624:2x 2x 2x 2x 3x 13
590:2x 5x 59
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 2x 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 30913016808960/(1x1056)
LCM = 30913016808960/1056
LCM = 29273690160
Thus, we can understand that the LCM of 869,671,144,624,590 is 29273690160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 869, 671, 144, 624, 590
1. What is the LCM of 869, 671, 144, 624, 590?
Answer: LCM of 869, 671, 144, 624, 590 is 29273690160.
2. How to calculate the LCM of 869, 671, 144, 624, 590?
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 869, 671, 144, 624, 590.
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}.