LCM of 624, 923, 736, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 923, 736, 851 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, 923, 736, 851. So, keep reading to learn more.
Given numbers are 624,923,736,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,923,736,851 is 75405408.
Find LCM of 624,923,736,851 with Prime Factorization
| 2 | 624, 923, 736, 851 |
| 2 | 312, 923, 368, 851 |
| 2 | 156, 923, 184, 851 |
| 2 | 78, 923, 92, 851 |
| 13 | 39, 923, 46, 851 |
| 23 | 3, 71, 46, 851 |
| 3, 71, 2, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 23 x 3 x 71 x 2 x 37 = 75405408
Therefore, the lowest common multiple of 624,923,736,851 is 75405408.
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 923 x 736 x 851 = 360739471872
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
923 : 1, 13, 71, 923
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,923,736,851, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
923:13x 71
736:2x 2x 2x 2x 2x 23
851:23x 37
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 13x 23 = 4784
Therefore, the value for common factors is 4784.
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 = 360739471872/(1x4784)
LCM = 360739471872/4784
LCM = 75405408
Thus, we can understand that the LCM of 624,923,736,851 is 75405408.
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FAQs on LCM of 624, 923, 736, 851
1. What is the LCM of 624, 923, 736, 851?
Answer: LCM of 624, 923, 736, 851 is 75405408.
2. How to calculate the LCM of 624, 923, 736, 851?
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, 923, 736, 851.
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}.