LCM of 998, 220, 253, 923, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 220, 253, 923, 624 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 998, 220, 253, 923, 624. So, keep reading to learn more.
Given numbers are 998,220,253,923,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,220,253,923,624 is 27966235440.
Find LCM of 998,220,253,923,624 with Prime Factorization
| 2 | 998, 220, 253, 923, 624 |
| 2 | 499, 110, 253, 923, 312 |
| 11 | 499, 55, 253, 923, 156 |
| 13 | 499, 5, 23, 923, 156 |
| 499, 5, 23, 71, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 499 x 5 x 23 x 71 x 12 = 27966235440
Therefore, the lowest common multiple of 998,220,253,923,624 is 27966235440.
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.
998 x 220 x 253 x 923 x 624 = 31993373343360
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.
998 : 1, 2, 499, 998
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
253 : 1, 11, 23, 253
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,220,253,923,624, is 1.
Now, the common factors can be found like this.
998:2x 499
220:2x 2x 5x 11
253:11x 23
923:13x 71
624:2x 2x 2x 2x 3x 13
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 11x 13 = 1144
Therefore, the value for common factors is 1144.
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 = 31993373343360/(1x1144)
LCM = 31993373343360/1144
LCM = 27966235440
Thus, we can understand that the LCM of 998,220,253,923,624 is 27966235440.
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FAQs on LCM of 998, 220, 253, 923, 624
1. What is the LCM of 998, 220, 253, 923, 624?
Answer: LCM of 998, 220, 253, 923, 624 is 27966235440.
2. How to calculate the LCM of 998, 220, 253, 923, 624?
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 998, 220, 253, 923, 624.
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}.