LCM of 623, 916, 624, 168, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 623, 916, 624, 168, 632 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 623, 916, 624, 168, 632. So, keep reading to learn more.
Given numbers are 623,916,624,168,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 623,916,624,168,632 is 7032912432.
Find LCM of 623,916,624,168,632 with Prime Factorization
| 2 | 623, 916, 624, 168, 632 |
| 2 | 623, 458, 312, 84, 316 |
| 2 | 623, 229, 156, 42, 158 |
| 3 | 623, 229, 78, 21, 79 |
| 7 | 623, 229, 26, 7, 79 |
| 89, 229, 26, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 89 x 229 x 26 x 1 x 79 = 7032912432
Therefore, the lowest common multiple of 623,916,624,168,632 is 7032912432.
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.
623 x 916 x 624 x 168 x 632 = 37808937234432
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.
623 : 1, 7, 89, 623
916 : 1, 2, 4, 229, 458, 916
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
632 : 1, 2, 4, 8, 79, 158, 316, 632
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 623,916,624,168,632, is 1.
Now, the common factors can be found like this.
623:7x 89
916:2x 2x 229
624:2x 2x 2x 2x 3x 13
168:2x 2x 2x 3x 7
632:2x 2x 2x 79
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 3x 7 = 5376
Therefore, the value for common factors is 5376.
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 = 37808937234432/(1x5376)
LCM = 37808937234432/5376
LCM = 7032912432
Thus, we can understand that the LCM of 623,916,624,168,632 is 7032912432.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 623, 916, 624, 168, 632
1. What is the LCM of 623, 916, 624, 168, 632?
Answer: LCM of 623, 916, 624, 168, 632 is 7032912432.
2. How to calculate the LCM of 623, 916, 624, 168, 632?
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 623, 916, 624, 168, 632.
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}.