LCM of 921, 412, 624, 689, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 921, 412, 624, 689, 923 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 921, 412, 624, 689, 923. So, keep reading to learn more.
Given numbers are 921,412,624,689,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,412,624,689,923 is 74249649552.
Find LCM of 921,412,624,689,923 with Prime Factorization
| 2 | 921, 412, 624, 689, 923 |
| 2 | 921, 206, 312, 689, 923 |
| 3 | 921, 103, 156, 689, 923 |
| 13 | 307, 103, 52, 689, 923 |
| 307, 103, 4, 53, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 307 x 103 x 4 x 53 x 71 = 74249649552
Therefore, the lowest common multiple of 921,412,624,689,923 is 74249649552.
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.
921 x 412 x 624 x 689 x 923 = 150578289291456
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.
921 : 1, 3, 307, 921
412 : 1, 2, 4, 103, 206, 412
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
689 : 1, 13, 53, 689
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,412,624,689,923, is 1.
Now, the common factors can be found like this.
921:3x 307
412:2x 2x 103
624:2x 2x 2x 2x 3x 13
689:13x 53
923:13x 71
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 3x 13x 13 = 2028
Therefore, the value for common factors is 2028.
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 = 150578289291456/(1x2028)
LCM = 150578289291456/2028
LCM = 74249649552
Thus, we can understand that the LCM of 921,412,624,689,923 is 74249649552.
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FAQs on LCM of 921, 412, 624, 689, 923
1. What is the LCM of 921, 412, 624, 689, 923?
Answer: LCM of 921, 412, 624, 689, 923 is 74249649552.
2. How to calculate the LCM of 921, 412, 624, 689, 923?
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 921, 412, 624, 689, 923.
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}.