LCM of 624, 890, 923, 534, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 890, 923, 534, 374 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 624, 890, 923, 534, 374. So, keep reading to learn more.
Given numbers are 624,890,923,534,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,890,923,534,374 is 3686757360.
Find LCM of 624,890,923,534,374 with Prime Factorization
| 2 | 624, 890, 923, 534, 374 |
| 3 | 312, 445, 923, 267, 187 |
| 13 | 104, 445, 923, 89, 187 |
| 89 | 8, 445, 71, 89, 187 |
| 8, 5, 71, 1, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 89 x 8 x 5 x 71 x 1 x 187 = 3686757360
Therefore, the lowest common multiple of 624,890,923,534,374 is 3686757360.
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.
624 x 890 x 923 x 534 x 374 = 102373878372480
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
890 : 1, 2, 5, 10, 89, 178, 445, 890
923 : 1, 13, 71, 923
534 : 1, 2, 3, 6, 89, 178, 267, 534
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,890,923,534,374, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
890:2x 5x 89
923:13x 71
534:2x 3x 89
374:2x 11x 17
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 13x 89 = 27768
Therefore, the value for common factors is 27768.
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 = 102373878372480/(1x27768)
LCM = 102373878372480/27768
LCM = 3686757360
Thus, we can understand that the LCM of 624,890,923,534,374 is 3686757360.
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FAQs on LCM of 624, 890, 923, 534, 374
1. What is the LCM of 624, 890, 923, 534, 374?
Answer: LCM of 624, 890, 923, 534, 374 is 3686757360.
2. How to calculate the LCM of 624, 890, 923, 534, 374?
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 624, 890, 923, 534, 374.
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}.