LCM of 499, 923, 624, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 923, 624, 994 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 499, 923, 624, 994. So, keep reading to learn more.
Given numbers are 499,923,624,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,923,624,994 is 154753872.
Find LCM of 499,923,624,994 with Prime Factorization
| 2 | 499, 923, 624, 994 |
| 13 | 499, 923, 312, 497 |
| 71 | 499, 71, 24, 497 |
| 499, 1, 24, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 71 x 499 x 1 x 24 x 7 = 154753872
Therefore, the lowest common multiple of 499,923,624,994 is 154753872.
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.
499 x 923 x 624 x 994 = 285675647712
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.
499 : 1, 499
923 : 1, 13, 71, 923
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,923,624,994, is 1.
Now, the common factors can be found like this.
499:499
923:13x 71
624:2x 2x 2x 2x 3x 13
994:2x 7x 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 13x 71 = 1846
Therefore, the value for common factors is 1846.
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 = 285675647712/(1x1846)
LCM = 285675647712/1846
LCM = 154753872
Thus, we can understand that the LCM of 499,923,624,994 is 154753872.
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FAQs on LCM of 499, 923, 624, 994
1. What is the LCM of 499, 923, 624, 994?
Answer: LCM of 499, 923, 624, 994 is 154753872.
2. How to calculate the LCM of 499, 923, 624, 994?
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 499, 923, 624, 994.
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}.