LCM of 624, 416, 923, 904, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 416, 923, 904, 736 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, 416, 923, 904, 736. So, keep reading to learn more.
Given numbers are 624,416,923,904,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,416,923,904,736 is 230292192.
Find LCM of 624,416,923,904,736 with Prime Factorization
| 2 | 624, 416, 923, 904, 736 |
| 2 | 312, 208, 923, 452, 368 |
| 2 | 156, 104, 923, 226, 184 |
| 2 | 78, 52, 923, 113, 92 |
| 2 | 39, 26, 923, 113, 46 |
| 13 | 39, 13, 923, 113, 23 |
| 3, 1, 71, 113, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 13 x 3 x 1 x 71 x 113 x 23 = 230292192
Therefore, the lowest common multiple of 624,416,923,904,736 is 230292192.
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 416 x 923 x 904 x 736 = 159413782315008
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
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
923 : 1, 13, 71, 923
904 : 1, 2, 4, 8, 113, 226, 452, 904
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,416,923,904,736, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
416:2x 2x 2x 2x 2x 13
923:13x 71
904:2x 2x 2x 113
736:2x 2x 2x 2x 2x 23
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 2x 2x 2x 2x 2x 2x 2x 13x 13 = 692224
Therefore, the value for common factors is 692224.
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 = 159413782315008/(1x692224)
LCM = 159413782315008/692224
LCM = 230292192
Thus, we can understand that the LCM of 624,416,923,904,736 is 230292192.
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FAQs on LCM of 624, 416, 923, 904, 736
1. What is the LCM of 624, 416, 923, 904, 736?
Answer: LCM of 624, 416, 923, 904, 736 is 230292192.
2. How to calculate the LCM of 624, 416, 923, 904, 736?
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, 416, 923, 904, 736.
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}.