LCM of 798, 624, 198, 550, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 798, 624, 198, 550, 900 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 798, 624, 198, 550, 900. So, keep reading to learn more.
Given numbers are 798,624,198,550,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,624,198,550,900 is 68468400.
Find LCM of 798,624,198,550,900 with Prime Factorization
| 2 | 798, 624, 198, 550, 900 |
| 2 | 399, 312, 99, 275, 450 |
| 3 | 399, 156, 99, 275, 225 |
| 3 | 133, 52, 33, 275, 75 |
| 5 | 133, 52, 11, 275, 25 |
| 5 | 133, 52, 11, 55, 5 |
| 11 | 133, 52, 11, 11, 1 |
| 133, 52, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 5 x 11 x 133 x 52 x 1 x 1 x 1 = 68468400
Therefore, the lowest common multiple of 798,624,198,550,900 is 68468400.
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.
798 x 624 x 198 x 550 x 900 = 48804275520000
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,624,198,550,900, is 2.
Now, the common factors can be found like this.
798:2x 3x 7x 19
624:2x 2x 2x 2x 3x 13
198:2x 3x 3x 11
550:2x 5x 5x 11
900:2x 2x 3x 3x 5x 5
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 3x 3x 3x 3x 5x 5x 11 = 356400
Therefore, the value for common factors is 356400.
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 = 48804275520000/(2x356400)
LCM = 48804275520000/712800
LCM = 68468400
Thus, we can understand that the LCM of 798,624,198,550,900 is 68468400.
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FAQs on LCM of 798, 624, 198, 550, 900
1. What is the LCM of 798, 624, 198, 550, 900?
Answer: LCM of 798, 624, 198, 550, 900 is 68468400.
2. How to calculate the LCM of 798, 624, 198, 550, 900?
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 798, 624, 198, 550, 900.
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}.